Finding the Fourth Proportional to 142.52, 213.57 and 111.96

Step by Step Solution

1. Step 1: Write the proportion equation
   142.52 : 213.57 = 111.96 : x
2. Step 2: Convert to fraction form
   142.52/213.57 = 111.96/x
3. Step 3: Cross multiply
   142.52x = 213.57 × 111.96
4. Step 4: Simplify right side
   142.52x = 23,911.30
5. Step 5: Solve for x
   x = 23,911.30/142.52
6. Step 6: Final answer
   x = 167.78