In Revelation 17:10 it is kings, not kingdoms. Daniel 7 indicates that the little horn and ten kings are of the fourth kingdom - that is what is in the text.
It is kings, not kingdoms, in the text.
You are taking the wrong approach. Overall, study the end times prophecies to track the arch villain of the end times. He is on two tracks...
1. To become the Antichrist - the King of Israel, illegitimate. What does the person do that makes the Jews think he is the promised great king of Israel?
2. To become the little horn in Daniel 7 and 8 before the seven years begin. And for the second part of the 7 years, the beast - both as King of the fourth empire, the Roman Empire, in the end times the EU.
Most of Revelation is about the person when he is the King of the Roman Emire, in the end times the EU.
In Revelation 13, the composite makeup of the beast indicates that the EU will have gained control of the territories once belonging to Babylonian, Medes-Persians, Greek empires. Which is basically hold the oild rich territories in the middle east.