I Am Now The Arbitrator Of The English Language

So I'm trying to figure out how to spell: PER-ROG-ATIVE.

I can not find a variation spelling that comes up with anything close in the spell checker, so I ask my human one. Tosh insits it's spelt: prerogative as in PRE-ROG-ATIVE.

I don't like that. It is now spelt like this: perogative.

So, listen up Webster.