Finding the Fourth Proportional to 10,401.41, 14,353.71 and 5,685.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.41 : 14,353.71 = 5,685.72 : x
2. Step 2: Convert to fraction form
   10,401.41/14,353.71 = 5,685.72/x
3. Step 3: Cross multiply
   10,401.41x = 14,353.71 × 5,685.72
4. Step 4: Simplify right side
   10,401.41x = 81,611,176.02
5. Step 5: Solve for x
   x = 81,611,176.02/10,401.41
6. Step 6: Final answer
   x = 7,846.17