Finding the Fourth Proportional to 9,658.71, 13,315.94 and 8,257.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,658.71 : 13,315.94 = 8,257.45 : x
2. Step 2: Convert to fraction form
   9,658.71/13,315.94 = 8,257.45/x
3. Step 3: Cross multiply
   9,658.71x = 13,315.94 × 8,257.45
4. Step 4: Simplify right side
   9,658.71x = 109,955,748.86
5. Step 5: Solve for x
   x = 109,955,748.86/9,658.71
6. Step 6: Final answer
   x = 11,384.10