That is an interesting question. I see one possible argument (whose correctness I don't know enough to judge, I'm just making it up) why infix is more natural than prefix: A kid will start by seeing an object, and only once you have an object does it make sense to combine it (by addition or whatever) with another object. Also, note that a certain amount of English syntax is infix: "I went to the store", not "Went to I the store".
...However, I think that in some other languages, postfix notation is common. I think my friend who studies Spanish told me that they say the equivalent of "I her it gave" (meaning "I gave it to her"), and I think I remember Shakespearean English using postfix. ...Looking at the text of Romeo and Juliet, I see both prefix and postfix.
Prefix: "O, where is Romeo? saw you him to-day?"
Postfix: "The which if you with patient ears attend"
On the one hand, we could say that, since these plays were apparently rather successful, people obviously didn't have too much trouble understanding them. On the other hand, since this sort of strange permutation has been mostly dropped from common usage (so that I recognize it as strange), that may be evidence that these things are just harder to use. On the
other hand, that could just be because "common usage" comes mostly from people who have been educated in schools, and schools have no reason to teach more than one method of speaking. On the
other hand, Shakespeare seems only to have done that in order to make lines fit into rhyming iambic pentameter; in no way was this natural to him.
I should probably note that a lot of speech deals with object method calls more than function calls ("I.saw(Bob.win(a_game))" or, as it would probably be expressed in Arc, "(I!saw (Bob!win a-game))"; function call would be like (saw I (win Bob a-game))). And adjectives and adverbs act kind of like keyword arguments: (I!drove :to (the store) :[qualifier] fast). From that perspective, the distinction might be "object method calls" vs "function calls", rather than "infix" vs "prefix".
Does someone who knows more than I about other human languages (or English, for that matter) know about the prevalence of postfix notation (and prefix, if it so happens)?