Finding the Fourth Proportional to 142.16, 196.56 and 116.72

Step by Step Solution

1. Step 1: Write the proportion equation
   142.16 : 196.56 = 116.72 : x
2. Step 2: Convert to fraction form
   142.16/196.56 = 116.72/x
3. Step 3: Cross multiply
   142.16x = 196.56 × 116.72
4. Step 4: Simplify right side
   142.16x = 22,942.48
5. Step 5: Solve for x
   x = 22,942.48/142.16
6. Step 6: Final answer
   x = 161.38