Finding the Fourth Proportional to 111.10, 166.83 and 76.87

Step by Step Solution

1. Step 1: Write the proportion equation
   111.10 : 166.83 = 76.87 : x
2. Step 2: Convert to fraction form
   111.10/166.83 = 76.87/x
3. Step 3: Cross multiply
   111.10x = 166.83 × 76.87
4. Step 4: Simplify right side
   111.10x = 12,823.00
5. Step 5: Solve for x
   x = 12,823.00/111.10
6. Step 6: Final answer
   x = 115.42