Finding the Fourth Proportional to 10,561.47, 14,574.59 and 5,781.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.47 : 14,574.59 = 5,781.39 : x
2. Step 2: Convert to fraction form
   10,561.47/14,574.59 = 5,781.39/x
3. Step 3: Cross multiply
   10,561.47x = 14,574.59 × 5,781.39
4. Step 4: Simplify right side
   10,561.47x = 84,261,359.97
5. Step 5: Solve for x
   x = 84,261,359.97/10,561.47
6. Step 6: Final answer
   x = 7,978.18