Finding the Fourth Proportional to 10,568.56, 15,855.24 and 5,635.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.56 : 15,855.24 = 5,635.60 : x
2. Step 2: Convert to fraction form
   10,568.56/15,855.24 = 5,635.60/x
3. Step 3: Cross multiply
   10,568.56x = 15,855.24 × 5,635.60
4. Step 4: Simplify right side
   10,568.56x = 89,353,790.54
5. Step 5: Solve for x
   x = 89,353,790.54/10,568.56
6. Step 6: Final answer
   x = 8,454.68