As Terence pointed out, there are too may variables to give any kind of accurate estimate. But you can find your way into the ballpark if you calculate your total based on some assumption of averages.
I would estimate that the average student tackles a level about every 1 to 1 & 1/2 years. Let's say you're learning one style, 4-5 dances, with 1 lesson per week (and simply double it if you're learning two styles with 2 lessons per week). If the going rate these days for an average teacher in the independent scene is $60 on the low end, and $90 on the higher end (factoring out top-tier competitive coaches), you're looking at anywhere between $3,000 and $7,000. Of course, in theory the least expensive teachers shouldn't get you there as fast as the most expensive, so you might expect that range to be a little narrower -- let's say $4,000 to $6,000 for one style at full bronze level.
Chain schools will be quite a bit more expensive. I don't know if it's different in Texas, but in Los Angeles, the current rate for a private lesson from a chain school can reach nearly $200. Assuming they're still using the same system they did when I last worked at a chain, they typically quote between 120 to 160 lessons per level, which usually includes two styles, 6-10 dances. That's as much as $32,000. I recommend you shop around to see what the average rate is in your area. Don't necessarily go for the lowest price, because in this industry, quality is everything. The difference between a $60 teacher and a $90 teacher might be the difference between completing bronze in 6 months and never completing it at all. Or not... you can find an underpriced gem, or an overpriced hack. Take a few lessons with a couple of different teachers, and talk to fellow students in your area. It won't take long before you get a very clear picture of who's churning out the best students.
Regards,
Jonathan