Finding the Fourth Proportional to 88.69, 132.83 and 75.78

Step by Step Solution

1. Step 1: Write the proportion equation
   88.69 : 132.83 = 75.78 : x
2. Step 2: Convert to fraction form
   88.69/132.83 = 75.78/x
3. Step 3: Cross multiply
   88.69x = 132.83 × 75.78
4. Step 4: Simplify right side
   88.69x = 10,064.81
5. Step 5: Solve for x
   x = 10,064.81/88.69
6. Step 6: Final answer
   x = 113.48