To solve this equation, we need to perform the operations step by step:

Start by simplifying the expression inside the innermost parentheses:
5.4x - 1.67

Next, divide 2,884 by the result from step 1:
2,884 / (5.4x - 1.67)

Then, divide 169.96 by the result from step 2:
169.96 / (2,884 / (5.4x - 1.67))

Finally, set the result from step 3 equal to 60.7 and solve for x.

After solving this equation step by step, you should be able to find the value of x.