He was born with a silver spoon up his butt. But he didn't inherit THAT much.
He inherited a little bit and turned it into a lot.
A lot of entitled rich kids squander or just maintain their inherited wealth (adjusted for inflation).
Trump inherited a small fortune and turned it into a huge fortune.
There is speculation about just how much he actually has. At one point he was over $70 million in debt. This is the same guy that pretended to be someone else calling Fortune magazine to inflate his worth to get him on their richest list. No domestic banks would loan him money, hence his involvement with Deutsche Bank. Fact is the guy inherited at least a few million and that was after the "startup" million his father gave him. So it's a little hard to take seriously "he didn't inherit THAT much" when you are talking about how a majority of people don't even come close to inheriting that much money.
As far as real estate mogul, that isn't entirely true. He has been very successful at marketing his name for condo buildings with other investors but as far as his own real estate ventures he isn't really taken seriously by the big players in NY. In the situations where he has actually had to manage something he has done horrible; casinos, steaks, vodka, airline, university, water, clothing line. The actual Trump organization is quite small but they have done a great job of creating the facade that they are a global entity.
As far as reality tv star, I don't know if you can really equate that the high IQ. If that's the case than the Kardashians are friggin geniuses along with Paris Hilton and Honey BooBoo. The guy has confidence, he's very good at marketing/sales and he has made it his life long mission to put himself in the public eye and promote and inflate his persona.
As far as being elected president, again that has just as much to do with marketing and sales than actually having a decent platform to run on. You also have to take into consideration he was running against one of the most disliked people in the country and he still lost the popular vote by quite a bit, he just happened to get the vote in the places that counted the most to give him the W.
So, really none of these things are indicators of intelligence, if anything they are more an indicator of someone that got lucky. I'm not saying one way or the other if I think he's smart, but he definitely is a great salesman.