Finding the Fourth Proportional to 111.69, 167.55 and 77.52

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 167.55 = 77.52 : x
2. Step 2: Convert to fraction form
   111.69/167.55 = 77.52/x
3. Step 3: Cross multiply
   111.69x = 167.55 × 77.52
4. Step 4: Simplify right side
   111.69x = 12,988.48
5. Step 5: Solve for x
   x = 12,988.48/111.69
6. Step 6: Final answer
   x = 116.29