some extra info:
the total is indeed 4 spaces for a fighter!
you can decide whether you go:
0 spaces in combat and 4 in non-combat
1 space in combat and 3 in non-combat
2 spaces in combat and 2 in non-combat
3 spaces in combat and 1 in non-combat
moving 4 spaces in combat is ONLY possible when attacking a sea-zone and when you can land on an aircraftcarrier (AC).
this AC has to be a survivor of the sea-battle OR
the AC has been moved there in non-combat phase (you move the AC to the occupied sea-zone, but didn’t attack with it)
moving 4 spaces in combat to attack a land territory is not possible, since you can not land it in a freshly conquered territory and it can not get back properly (remember?)