You can buy another civ's votes if you have a diplomat in their capital. It's usually expensive or impossible to get them to vote on a proposal they don't like, like Sci Funding in this case, so the trick is to bribe them to vote for the other proposal. This way you spread their votes at least, and it becomes easier to outbid them.
Thanks for the explanation, and how to work the game mechanics! But I though a spy in the enemy cap also lets you bribe votes? If so, why use a diplomat and not a spy?
I suppose I should try upgrading the few units I have and slam them all into a conquered capital a couple of turns before victory.
Don’t make Achievement C any harder than it is! You just have to recall a civ to life, not get them their cap back! From your screen shot, I think you have the same small inland city eligible as I am targeting.
I expect to build ships at some point, and I appreciate that is not an option for you (and others getting Achievement D), but that is all for my revenge schemes, not any of the Achievements.