Finding the Fourth Proportional to 142.59, 196.71 and 120.54

Step by Step Solution

1. Step 1: Write the proportion equation
   142.59 : 196.71 = 120.54 : x
2. Step 2: Convert to fraction form
   142.59/196.71 = 120.54/x
3. Step 3: Cross multiply
   142.59x = 196.71 × 120.54
4. Step 4: Simplify right side
   142.59x = 23,711.42
5. Step 5: Solve for x
   x = 23,711.42/142.59
6. Step 6: Final answer
   x = 166.29