Finding the Fourth Proportional to 82,005.35, 123,024.69 and 31,400.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82,005.35 : 123,024.69 = 31,400.78 : x
2. Step 2: Convert to fraction form
   82,005.35/123,024.69 = 31,400.78/x
3. Step 3: Cross multiply
   82,005.35x = 123,024.69 × 31,400.78
4. Step 4: Simplify right side
   82,005.35x = 3,863,070,610.13
5. Step 5: Solve for x
   x = 3,863,070,610.13/82,005.35
6. Step 6: Final answer
   x = 47,107.55