Lol, dude your options are either paying up big time, or just moving whatever else it is you need to do for that 1 hour difference.

This is why you either don't buy non-refundable/no-change tickets OR, when something like this comes up you just tell them "hey I can't make that meeting I've got this flight, can we move it to _____" or "no I can't take any appointments that late". If this wasn't last minute you would've known about it already and then wouldn't have booked this, so your new items should flow around this, not the other way.