Finding the Fourth Proportional to 10,561.38, 14,574.47 and 5,781.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.38 : 14,574.47 = 5,781.32 : x
2. Step 2: Convert to fraction form
   10,561.38/14,574.47 = 5,781.32/x
3. Step 3: Cross multiply
   10,561.38x = 14,574.47 × 5,781.32
4. Step 4: Simplify right side
   10,561.38x = 84,259,674.90
5. Step 5: Solve for x
   x = 84,259,674.90/10,561.38
6. Step 6: Final answer
   x = 7,978.09