Finding the Fourth Proportional to 10,461.43, 14,436.71 and 5,681.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.43 : 14,436.71 = 5,681.33 : x
2. Step 2: Convert to fraction form
   10,461.43/14,436.71 = 5,681.33/x
3. Step 3: Cross multiply
   10,461.43x = 14,436.71 × 5,681.33
4. Step 4: Simplify right side
   10,461.43x = 82,019,763.92
5. Step 5: Solve for x
   x = 82,019,763.92/10,461.43
6. Step 6: Final answer
   x = 7,840.21