Finding the Fourth Proportional to 82,164.10, 113,455.59 and 52,002.64

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164.10 : 113,455.59 = 52,002.64 : x
2. Step 2: Convert to fraction form
   82,164.10/113,455.59 = 52,002.64/x
3. Step 3: Cross multiply
   82,164.10x = 113,455.59 × 52,002.64
4. Step 4: Simplify right side
   82,164.10x = 5,899,989,635.48
5. Step 5: Solve for x
   x = 5,899,989,635.48/82,164.10
6. Step 6: Final answer
   x = 71,807.40