Finding the Fourth Proportional to 111.14, 166.50 and 76.82

Step by Step Solution

1. Step 1: Write the proportion equation
   111.14 : 166.50 = 76.82 : x
2. Step 2: Convert to fraction form
   111.14/166.50 = 76.82/x
3. Step 3: Cross multiply
   111.14x = 166.50 × 76.82
4. Step 4: Simplify right side
   111.14x = 12,789.70
5. Step 5: Solve for x
   x = 12,789.70/111.14
6. Step 6: Final answer
   x = 115.08