Finding the Fourth Proportional to 10,465.53, 14,442.68 and 5,685.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.53 : 14,442.68 = 5,685.47 : x
2. Step 2: Convert to fraction form
   10,465.53/14,442.68 = 5,685.47/x
3. Step 3: Cross multiply
   10,465.53x = 14,442.68 × 5,685.47
4. Step 4: Simplify right side
   10,465.53x = 82,113,401.97
5. Step 5: Solve for x
   x = 82,113,401.97/10,465.53
6. Step 6: Final answer
   x = 7,846.09