Finding the Fourth Proportional to 10,397.62, 14,348.97 and 5,682.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.62 : 14,348.97 = 5,682.10 : x
2. Step 2: Convert to fraction form
   10,397.62/14,348.97 = 5,682.10/x
3. Step 3: Cross multiply
   10,397.62x = 14,348.97 × 5,682.10
4. Step 4: Simplify right side
   10,397.62x = 81,532,282.44
5. Step 5: Solve for x
   x = 81,532,282.44/10,397.62
6. Step 6: Final answer
   x = 7,841.44