Finding the Fourth Proportional to 82,687.72, 113,978.04 and 75,823.12

Step by Step Solution

1. Step 1: Write the proportion equation
   82,687.72 : 113,978.04 = 75,823.12 : x
2. Step 2: Convert to fraction form
   82,687.72/113,978.04 = 75,823.12/x
3. Step 3: Cross multiply
   82,687.72x = 113,978.04 × 75,823.12
4. Step 4: Simplify right side
   82,687.72x = 8,642,170,604.28
5. Step 5: Solve for x
   x = 8,642,170,604.28/82,687.72
6. Step 6: Final answer
   x = 104,515.77