Finding the Fourth Proportional to 10,082.88, 13,920.60 and 6,499.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.88 : 13,920.60 = 6,499.10 : x
2. Step 2: Convert to fraction form
   10,082.88/13,920.60 = 6,499.10/x
3. Step 3: Cross multiply
   10,082.88x = 13,920.60 × 6,499.10
4. Step 4: Simplify right side
   10,082.88x = 90,471,301.86
5. Step 5: Solve for x
   x = 90,471,301.86/10,082.88
6. Step 6: Final answer
   x = 8,972.76