Isn’t this a pretty informal way to express the idea?
It sounds rather outmoded and quite formal to me. Today you’d more likely hear something along the lines of
I think he’s rich.
He seems pretty well-off to me.
depending on the context of the phrase.
I does make sense but it sounds like a clumsy way of saying it.
I agree with ananaso, that most people would simply say ‘I think he’s rich’.
However, if you wanted to keep a similar sentence structure to the original, most people would say ‘I consider him to be rich’ (more formal) or ‘I think that he’s rich’.