Finding the Fourth Proportional to 111.60, 167.54 and 75.69

Step by Step Solution

1. Step 1: Write the proportion equation
   111.60 : 167.54 = 75.69 : x
2. Step 2: Convert to fraction form
   111.60/167.54 = 75.69/x
3. Step 3: Cross multiply
   111.60x = 167.54 × 75.69
4. Step 4: Simplify right side
   111.60x = 12,680.72
5. Step 5: Solve for x
   x = 12,680.72/111.60
6. Step 6: Final answer
   x = 113.63