Finding the Fourth Proportional to 142.26, 196.25 and 89.71

Step by Step Solution

1. Step 1: Write the proportion equation
   142.26 : 196.25 = 89.71 : x
2. Step 2: Convert to fraction form
   142.26/196.25 = 89.71/x
3. Step 3: Cross multiply
   142.26x = 196.25 × 89.71
4. Step 4: Simplify right side
   142.26x = 17,604.16
5. Step 5: Solve for x
   x = 17,604.16/142.26
6. Step 6: Final answer
   x = 123.75