Finding the Fourth Proportional to 11,802.83, 16,287.54 and 6,497.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802.83 : 16,287.54 = 6,497.61 : x
2. Step 2: Convert to fraction form
   11,802.83/16,287.54 = 6,497.61/x
3. Step 3: Cross multiply
   11,802.83x = 16,287.54 × 6,497.61
4. Step 4: Simplify right side
   11,802.83x = 105,830,082.78
5. Step 5: Solve for x
   x = 105,830,082.78/11,802.83
6. Step 6: Final answer
   x = 8,966.50