Finding the Fourth Proportional to 82,412.16, 113,686.92 and 52,146.48

Step by Step Solution

1. Step 1: Write the proportion equation
   82,412.16 : 113,686.92 = 52,146.48 : x
2. Step 2: Convert to fraction form
   82,412.16/113,686.92 = 52,146.48/x
3. Step 3: Cross multiply
   82,412.16x = 113,686.92 × 52,146.48
4. Step 4: Simplify right side
   82,412.16x = 5,928,372,700.04
5. Step 5: Solve for x
   x = 5,928,372,700.04/82,412.16
6. Step 6: Final answer
   x = 71,935.65