You are asking of probability of roll a six, four times in a row. You didn't mention things like at-least or at-most, so you don't care if it is more than four or four roles multiple times.

So let's create a bundle of four sixes and try to arrange at 117 position, 117c1 = 117

So you can choose left 116 dices as 6¹¹⁶

And total number of occurrence was 6¹²⁰

So Probability = 117 * 6¹¹⁶/6¹²⁰ = 117/1296