Finding the Fourth Proportional to 9,635.06, 13,296.89 and 5,857.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,635.06 : 13,296.89 = 5,857.61 : x
2. Step 2: Convert to fraction form
   9,635.06/13,296.89 = 5,857.61/x
3. Step 3: Cross multiply
   9,635.06x = 13,296.89 × 5,857.61
4. Step 4: Simplify right side
   9,635.06x = 77,887,900.06
5. Step 5: Solve for x
   x = 77,887,900.06/9,635.06
6. Step 6: Final answer
   x = 8,083.80