Finding the Fourth Proportional to 10,401.31, 14,353.82 and 5,685.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.31 : 14,353.82 = 5,685.59 : x
2. Step 2: Convert to fraction form
   10,401.31/14,353.82 = 5,685.59/x
3. Step 3: Cross multiply
   10,401.31x = 14,353.82 × 5,685.59
4. Step 4: Simplify right side
   10,401.31x = 81,609,935.45
5. Step 5: Solve for x
   x = 81,609,935.45/10,401.31
6. Step 6: Final answer
   x = 7,846.12