Finding the Fourth Proportional to 10,398.16, 14,349.56 and 5,682.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.16 : 14,349.56 = 5,682.44 : x
2. Step 2: Convert to fraction form
   10,398.16/14,349.56 = 5,682.44/x
3. Step 3: Cross multiply
   10,398.16x = 14,349.56 × 5,682.44
4. Step 4: Simplify right side
   10,398.16x = 81,540,513.73
5. Step 5: Solve for x
   x = 81,540,513.73/10,398.16
6. Step 6: Final answer
   x = 7,841.82