Finding the Fourth Proportional to 10,401.06, 14,353.47 and 5,685.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.06 : 14,353.47 = 5,685.35 : x
2. Step 2: Convert to fraction form
   10,401.06/14,353.47 = 5,685.35/x
3. Step 3: Cross multiply
   10,401.06x = 14,353.47 × 5,685.35
4. Step 4: Simplify right side
   10,401.06x = 81,604,428.90
5. Step 5: Solve for x
   x = 81,604,428.90/10,401.06
6. Step 6: Final answer
   x = 7,845.78