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No one can really tell you if that's enough. It depends on several factors: where you live, what type of wedding you want, etc. You and your FI could start by getting ideas and doing research in your area to see what weddings cost. I know here in Northern Jersey $10,000 wouldn't get you very much.
Hoboken is right. Your budget is up to you. I have been to weddings that cost $3000 and weddings that cost $50,000. Both were a blast. The amount of money that you spend will not dictate the better wedding. Figure out what is important to you, i.e. photography, food, music, and spend your money wisely.As you plan, remember this--the wedding industry will tell you that you have to have certain things in order for your day to be perfect. In reality, things like favors, chair covers,over-the-top centerpieces, oot bags and bathroom baskets are not necessary and can quickly add up in a budget.All you need to have is good food, good drinks, good people, the signed marriage license and the groom. Everything else is gravy. Happy planning!