Finding the Fourth Proportional to 142.01, 196.05 and 89.57

Step by Step Solution

1. Step 1: Write the proportion equation
   142.01 : 196.05 = 89.57 : x
2. Step 2: Convert to fraction form
   142.01/196.05 = 89.57/x
3. Step 3: Cross multiply
   142.01x = 196.05 × 89.57
4. Step 4: Simplify right side
   142.01x = 17,561.02
5. Step 5: Solve for x
   x = 17,561.02/142.01
6. Step 6: Final answer
   x = 123.66