Finding the Fourth Proportional to 10,461.78, 14,436.75 and 5,681.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.78 : 14,436.75 = 5,681.61 : x
2. Step 2: Convert to fraction form
   10,461.78/14,436.75 = 5,681.61/x
3. Step 3: Cross multiply
   10,461.78x = 14,436.75 × 5,681.61
4. Step 4: Simplify right side
   10,461.78x = 82,023,983.17
5. Step 5: Solve for x
   x = 82,023,983.17/10,461.78
6. Step 6: Final answer
   x = 7,840.35