Important note on Daniel 7:24
The 11th horn/king of Daniel 7:24, the “little horn,” does not come up “after the 10.” It comes up “in the MIDST of them.”
Most translations of 7:24 have something like this:
As for the ten horns,
out of this kingdom, ten kings shall arise,
and another shall arise after them;
he shall be different from the former ones,
and shall put down three kings.
The problem is that the translators of Daniel 7:24 didn’t know what to do with the single occurrence of the original word there, and made their best guess. “Among” would have made much more sense in light of the prophecy as a whole, as indeed the vision itself uses “among” in another spot:
This is provable by looking at the ENTIRE vision:
7 After this I saw in the night visions, and behold, a fourth beast, terrifying and dreadful and exceedingly strong. It had great iron teeth; it devoured and broke in pieces and stamped what was left with its feet. It was different from all the beasts that were before it, and it had ten horns. 8 I considered the horns, and behold, there came up among them another horn, a little one, before which three of the first horns were plucked up by the roots. And behold, in this horn were eyes like the eyes of a man, and a mouth speaking great things.
^ Notice here in verse 8 that the king comes up AMONG the list/group of 10.
Why would the vision be inconsistent with itself? It can’t be. Either Daniel saw the additional horn after he saw the other 10, or the translators simply could have done better on vs 24. Either solution works, and it may be both.
The Septuagint, the Hebrew Bible translated to Greek by folks even before Christ was born, which is quoted from by New Testament writers over 200x, uses the Greek word opiso, which can also mean “behind.” This could indeed mean that Daniel both saw the horn in the midst of the others, and he saw it after he saw the others. One, the other, or both, could make sense.
The most important point is that 7:24 must harmonize with 7:8.
The little horn’s kingship occurs not at the very beginning, no at the very end, of this list of kings of the 4th empire that would follow Greece. This is clearly Rome over Judea in the 1st century (iron and potter’s clay, conquered & divided land, etc), so you have only 2 options: look at the Roman emperors, or look at the Roman client kings or procurators (i.e. Herodian dynasty, etc.). If you’re looking anywhere else, you’re barking up the wrong tree.