Finding the Fourth Proportional to 10,385.28, 15,584.00 and 5,459.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.28 : 15,584.00 = 5,459.67 : x
2. Step 2: Convert to fraction form
   10,385.28/15,584.00 = 5,459.67/x
3. Step 3: Cross multiply
   10,385.28x = 15,584.00 × 5,459.67
4. Step 4: Simplify right side
   10,385.28x = 85,083,469.98
5. Step 5: Solve for x
   x = 85,083,469.98/10,385.28
6. Step 6: Final answer
   x = 8,192.70