Finding the Fourth Proportional to 111.86, 167.50 and 77.52

Step by Step Solution

1. Step 1: Write the proportion equation
   111.86 : 167.50 = 77.52 : x
2. Step 2: Convert to fraction form
   111.86/167.50 = 77.52/x
3. Step 3: Cross multiply
   111.86x = 167.50 × 77.52
4. Step 4: Simplify right side
   111.86x = 12,984.60
5. Step 5: Solve for x
   x = 12,984.60/111.86
6. Step 6: Final answer
   x = 116.08