Finding the Fourth Proportional to 142.42, 196.58 and 83.42

Step by Step Solution

1. Step 1: Write the proportion equation
   142.42 : 196.58 = 83.42 : x
2. Step 2: Convert to fraction form
   142.42/196.58 = 83.42/x
3. Step 3: Cross multiply
   142.42x = 196.58 × 83.42
4. Step 4: Simplify right side
   142.42x = 16,398.55
5. Step 5: Solve for x
   x = 16,398.55/142.42
6. Step 6: Final answer
   x = 115.14