Finding the Fourth Proportional to 82,165.10, 113,456.97 and 52,003.64

Step by Step Solution

1. Step 1: Write the proportion equation
   82,165.10 : 113,456.97 = 52,003.64 : x
2. Step 2: Convert to fraction form
   82,165.10/113,456.97 = 52,003.64/x
3. Step 3: Cross multiply
   82,165.10x = 113,456.97 × 52,003.64
4. Step 4: Simplify right side
   82,165.10x = 5,900,175,423.37
5. Step 5: Solve for x
   x = 5,900,175,423.37/82,165.10
6. Step 6: Final answer
   x = 71,808.78