Finding the Fourth Proportional to 111.97, 167.61 and 75.86

Step by Step Solution

1. Step 1: Write the proportion equation
   111.97 : 167.61 = 75.86 : x
2. Step 2: Convert to fraction form
   111.97/167.61 = 75.86/x
3. Step 3: Cross multiply
   111.97x = 167.61 × 75.86
4. Step 4: Simplify right side
   111.97x = 12,714.89
5. Step 5: Solve for x
   x = 12,714.89/111.97
6. Step 6: Final answer
   x = 113.56