Finding the Fourth Proportional to 111.18, 166.38 and 76.71

Step by Step Solution

1. Step 1: Write the proportion equation
   111.18 : 166.38 = 76.71 : x
2. Step 2: Convert to fraction form
   111.18/166.38 = 76.71/x
3. Step 3: Cross multiply
   111.18x = 166.38 × 76.71
4. Step 4: Simplify right side
   111.18x = 12,762.18
5. Step 5: Solve for x
   x = 12,762.18/111.18
6. Step 6: Final answer
   x = 114.79