Finding the Fourth Proportional to 82,142.34, 113,356.35 and 44,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,142.34 : 113,356.35 = 44,416.50 : x
2. Step 2: Convert to fraction form
   82,142.34/113,356.35 = 44,416.50/x
3. Step 3: Cross multiply
   82,142.34x = 113,356.35 × 44,416.50
4. Step 4: Simplify right side
   82,142.34x = 5,034,892,319.78
5. Step 5: Solve for x
   x = 5,034,892,319.78/82,142.34
6. Step 6: Final answer
   x = 61,294.73