There interpretations on 1st, 2nd and 3rd beast are spot on,
but their interpretation of the 4th beast is lacking.
- They make no attempt to match the 10 horns with the historical record of the roman empire.
- They make no attempt to match the 3 uprooted horns with the historical record of the roman empire.
- They go from the Greek Empire, to the Roman empire, leap frogging over the Roman Republic.
Why?
Because their approach to interpretation has changed. It has changed from a historicist approach to a futuristic approach. They jam these two approaches together by their use of the 4th beast. This error in their approach has caused them to gloss over some of the important descriptions of the 4th beast and therefore they have wrongly interpreted what the 4th beast represents.
The correct interpretation for the 4th beast is the Roman Republic, not the Roman Empire.
Once they went off the rails on the interpretation of the 4th beast they continue off the rails with their future predictions of the little horn.
Why Futuristic View is Incorrect:
The bible is not a crystal ball for predicting future historical events. Why? Because the bible works on witness and testimony. The making of future predictions is neither a witness nor a testimony to the biblical prophesies. Instead there is only witness and testimony to the prophesies once they are fulfilled by historical events.
To correct their mistake on the identification of the 4th beast an adherence to the historicist method must be kept.