Finding the Fourth Proportional to 10,561.59, 14,574.77 and 5,781.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.59 : 14,574.77 = 5,781.41 : x
2. Step 2: Convert to fraction form
   10,561.59/14,574.77 = 5,781.41/x
3. Step 3: Cross multiply
   10,561.59x = 14,574.77 × 5,781.41
4. Step 4: Simplify right side
   10,561.59x = 84,262,695.58
5. Step 5: Solve for x
   x = 84,262,695.58/10,561.59
6. Step 6: Final answer
   x = 7,978.22