Finding the Fourth Proportional to 94.89, 142.29 and 75.69

Step by Step Solution

1. Step 1: Write the proportion equation
   94.89 : 142.29 = 75.69 : x
2. Step 2: Convert to fraction form
   94.89/142.29 = 75.69/x
3. Step 3: Cross multiply
   94.89x = 142.29 × 75.69
4. Step 4: Simplify right side
   94.89x = 10,769.93
5. Step 5: Solve for x
   x = 10,769.93/94.89
6. Step 6: Final answer
   x = 113.50