Finding the Fourth Proportional to 6,592.61, 9,892.17 and 3,082.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.61 : 9,892.17 = 3,082.86 : x
2. Step 2: Convert to fraction form
   6,592.61/9,892.17 = 3,082.86/x
3. Step 3: Cross multiply
   6,592.61x = 9,892.17 × 3,082.86
4. Step 4: Simplify right side
   6,592.61x = 30,496,175.21
5. Step 5: Solve for x
   x = 30,496,175.21/6,592.61
6. Step 6: Final answer
   x = 4,625.82