Finding the Fourth Proportional to 10,401.19, 14,353.64 and 5,685.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.19 : 14,353.64 = 5,685.47 : x
2. Step 2: Convert to fraction form
   10,401.19/14,353.64 = 5,685.47/x
3. Step 3: Cross multiply
   10,401.19x = 14,353.64 × 5,685.47
4. Step 4: Simplify right side
   10,401.19x = 81,607,189.61
5. Step 5: Solve for x
   x = 81,607,189.61/10,401.19
6. Step 6: Final answer
   x = 7,845.95