Finding the Fourth Proportional to 111.16, 166 and 105.88

Step by Step Solution

1. Step 1: Write the proportion equation
   111.16 : 166 = 105.88 : x
2. Step 2: Convert to fraction form
   111.16/166 = 105.88/x
3. Step 3: Cross multiply
   111.16x = 166 × 105.88
4. Step 4: Simplify right side
   111.16x = 17,576.08
5. Step 5: Solve for x
   x = 17,576.08/111.16
6. Step 6: Final answer
   x = 158.12