Finding the Fourth Proportional to 10,398.41, 14,349.81 and 5,682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.41 : 14,349.81 = 5,682.69 : x
2. Step 2: Convert to fraction form
   10,398.41/14,349.81 = 5,682.69/x
3. Step 3: Cross multiply
   10,398.41x = 14,349.81 × 5,682.69
4. Step 4: Simplify right side
   10,398.41x = 81,545,521.79
5. Step 5: Solve for x
   x = 81,545,521.79/10,398.41
6. Step 6: Final answer
   x = 7,842.12