The library's note
The argument sounds strange to modern ears, partly because Aquinas's own example — that fire, "the maximum heat," is the cause of all hot things — is simply bad physics; heat is not caused by a hottest thing. Read charitably, though, the argument is not about heat but about what medieval thinkers called the transcendentals: being, goodness, and truth — features everything has to some degree just insofar as it exists at all.
A better example helps. The nature of redness is what makes each red thing red; nothing could be red if there were no such nature to share in. Aquinas's claim is that goodness, truth, and being work the same way — a thing is good, or true, or real only by sharing in goodness, truth, and being themselves — and what everything shares in must exist in full, as their source. That fullness, wanting in nothing, he identifies with God.
Everything turns on two steps most people balk at. First, that degrees really do imply a maximum. Some do not: there is no "most distant" thing simply because things are more or less distant. Aquinas needs the perfections in question — being, goodness — to be the kind that have an intrinsic maximum, not the kind that trail off without limit. Second, that this maximum is the cause of the lesser degrees, and is a real being rather than an abstract standard. Critics press on both.
Defenders — most fully today Edward Feser, who reads the Fourth Way through its Neoplatonic roots — answer that being and goodness are not ordinary gradable qualities but transcendentals, and that whatever has them only partially must receive them from something that has them without limit; an abstract standard, having no existence of its own, could cause nothing. Honesty requires a note: the record of sharp, distinct objections aimed specifically at this argument is thinner than for the others, and its liveliest treatment today is within the neo-Thomistic revival. We show it at its true weight rather than pad it.
Written for this library — not a quoted source. It reports how the premise is argued and answered; the philosophers' own words are above.