Finding the Fourth Proportional to 10,564.96, 15,857.04 and 5,638.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.96 : 15,857.04 = 5,638.80 : x
2. Step 2: Convert to fraction form
   10,564.96/15,857.04 = 5,638.80/x
3. Step 3: Cross multiply
   10,564.96x = 15,857.04 × 5,638.80
4. Step 4: Simplify right side
   10,564.96x = 89,414,677.15
5. Step 5: Solve for x
   x = 89,414,677.15/10,564.96
6. Step 6: Final answer
   x = 8,463.32