Finding the Fourth Proportional to 111.46, 166.02 and 106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   111.46 : 166.02 = 106.56 : x
2. Step 2: Convert to fraction form
   111.46/166.02 = 106.56/x
3. Step 3: Cross multiply
   111.46x = 166.02 × 106.56
4. Step 4: Simplify right side
   111.46x = 17,691.09
5. Step 5: Solve for x
   x = 17,691.09/111.46
6. Step 6: Final answer
   x = 158.72