From what I can tell, the active ingredient in this product would be Pyrethrins which can be quite troublesome for cats but less so for dogs.
Pyrethrins are well absorbed orally but poorly absorbed across the skin so it's a good thing that Buddy Dude didn't ingest any of the product.
More than likely, he's going to be fine especially since you were quick thinking enough to bath him right away. However, additional signs to monitor over the next few hours include: include fever or just the opposite a low temperature (normal is between 100 and 102.5), “paw flicking,” hyperexcitability, tremors, balance issues, and weakness. Severe signs such as difficulty breathing, seizures, or death are very uncommon in dogs.
He may not be completely out of the woods for a full 24 hours after exposure but the fact that he's not shown any other signs is really good.
In all honesty, these foggers typically carry fairly low levels of pesticides so I really don't expect him to have any major issues but I do hope you'll keep me posted about him. I'd like to know for sure that this is the case. Even after you've rated (if you do, of course), we can continue to communicate at no additional charge to you.
Best of luck with him. Regards, Deb