Finding the Fourth Proportional to 82,082.95, 123,130.77 and 31,506.29

Step by Step Solution

1. Step 1: Write the proportion equation
   82,082.95 : 123,130.77 = 31,506.29 : x
2. Step 2: Convert to fraction form
   82,082.95/123,130.77 = 31,506.29/x
3. Step 3: Cross multiply
   82,082.95x = 123,130.77 × 31,506.29
4. Step 4: Simplify right side
   82,082.95x = 3,879,393,475.48
5. Step 5: Solve for x
   x = 3,879,393,475.48/82,082.95
6. Step 6: Final answer
   x = 47,261.87