Finding the Fourth Proportional to 10,565.96, 15,858.54 and 5,639.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.96 : 15,858.54 = 5,639.80 : x
2. Step 2: Convert to fraction form
   10,565.96/15,858.54 = 5,639.80/x
3. Step 3: Cross multiply
   10,565.96x = 15,858.54 × 5,639.80
4. Step 4: Simplify right side
   10,565.96x = 89,438,993.89
5. Step 5: Solve for x
   x = 89,438,993.89/10,565.96
6. Step 6: Final answer
   x = 8,464.82