Finding the Fourth Proportional to 114.86, 158.49 and 76.10

Step by Step Solution

1. Step 1: Write the proportion equation
   114.86 : 158.49 = 76.10 : x
2. Step 2: Convert to fraction form
   114.86/158.49 = 76.10/x
3. Step 3: Cross multiply
   114.86x = 158.49 × 76.10
4. Step 4: Simplify right side
   114.86x = 12,061.09
5. Step 5: Solve for x
   x = 12,061.09/114.86
6. Step 6: Final answer
   x = 105.01