Finding the Fourth Proportional to 10,568.06, 15,854.50 and 5,635.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.06 : 15,854.50 = 5,635.10 : x
2. Step 2: Convert to fraction form
   10,568.06/15,854.50 = 5,635.10/x
3. Step 3: Cross multiply
   10,568.06x = 15,854.50 × 5,635.10
4. Step 4: Simplify right side
   10,568.06x = 89,341,692.95
5. Step 5: Solve for x
   x = 89,341,692.95/10,568.06
6. Step 6: Final answer
   x = 8,453.94