Finding the Fourth Proportional to 142.05, 196.10 and 89.62

Step by Step Solution

1. Step 1: Write the proportion equation
   142.05 : 196.10 = 89.62 : x
2. Step 2: Convert to fraction form
   142.05/196.10 = 89.62/x
3. Step 3: Cross multiply
   142.05x = 196.10 × 89.62
4. Step 4: Simplify right side
   142.05x = 17,574.48
5. Step 5: Solve for x
   x = 17,574.48/142.05
6. Step 6: Final answer
   x = 123.72