Finding the Fourth Proportional to 10,561.43, 14,574.57 and 5,781.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.43 : 14,574.57 = 5,781.26 : x
2. Step 2: Convert to fraction form
   10,561.43/14,574.57 = 5,781.26/x
3. Step 3: Cross multiply
   10,561.43x = 14,574.57 × 5,781.26
4. Step 4: Simplify right side
   10,561.43x = 84,259,305.69
5. Step 5: Solve for x
   x = 84,259,305.69/10,561.43
6. Step 6: Final answer
   x = 7,978.02