"“In the days of these kings shall the God of heaven set up a kingdom, which shall never be destroyed: and the kingdom shall not be left to other people, but it shall break in pieces and consume all these kingdoms, and it shall stand forever. Forasmuch as thou sawest that the stone was cut out of the mountain without hands, and that it brake in pieces the iron, the brass, the clay, the silver, and the gold; the great God hath made known to the king what shall come to pass hereafter: and the dream is certain, and the interpretation thereof sure.” PK 499.1"
"And in the days of these kings shall the God of heaven set up a kingdom, which shall never be destroyed: and the kingdom shall not be left to other people, but it shall break in pieces and consume all these kingdoms, and it shall stand for ever."
EGW directly quotes Daniel 2:44.
"The king was convinced of the truth of the interpretation, and in humility and awe he “fell upon his face, and worshiped,” saying, “Of a truth it is, that your God is a God of gods, and a Lord of kings, and a revealer of secrets, seeing thou couldest reveal this secret.” PK 499.2"
"The king answered unto Daniel, and said, Of a truth it is, that your God is a God of gods, and a Lord of kings, and a revealer of secrets, seeing thou couldest reveal this secret."
The EGW passage directly quotes Daniel 2:47, making it a clear and explicit allusion.
"Nebuchadnezzar revoked the decree for the destruction of the wise men. Their lives were spared because of Daniel's connection with the Revealer of secrets. And “the king made Daniel a great man, and gave him many great gifts, and made him ruler over the whole province of Babylon, and chief of the governors over all the wise men of Babylon. Then Daniel requested of the king, and he set Shadrach, Meshach, and Abednego, over the affairs of the province of Babylon: but Daniel sat in the gate of the king.” PK 499.3"
"Then the king made Daniel a great man, and gave him many great gifts, and made him ruler over the whole province of Babylon, and chief of the governors over all the wise men of Babylon."
EGW directly quotes Daniel 2:48.
"In the annals of human history, the growth of nations, the rise and fall of empires, appear as if dependent on the will and prowess of man; the shaping of events seems, to a great degree, to be determined by his power, ambition, or caprice. But in the word of God the curtain is drawn aside, and we behold, above, behind, and through all the play and counterplay of human interest and power and passions, the agencies of the All-merciful One, silently, patiently working out the counsels of His own will. PK 499.4"
"This matter is by the decree of the watchers, and the demand by the word of the holy ones: to the intent that the living may know that the most High ruleth in the kingdom of men, and giveth it to whomsoever he will, and setteth up over it the basest of men."
Both passages emphasize God's sovereignty over human kingdoms and events. EGW expands on the principle found in Daniel 4:17.
"The king’s heart is in the hand of the Lord, as the rivers of water: he turneth it whithersoever he will."
Both passages highlight God's control over rulers and events, even when they appear to be driven by human will. Proverbs 21:1 provides a concise statement of the principle that EGW elaborates on.