Finding the Fourth Proportional to 10,399.13, 14,350.82 and 5,683.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.13 : 14,350.82 = 5,683.40 : x
2. Step 2: Convert to fraction form
   10,399.13/14,350.82 = 5,683.40/x
3. Step 3: Cross multiply
   10,399.13x = 14,350.82 × 5,683.40
4. Step 4: Simplify right side
   10,399.13x = 81,561,450.39
5. Step 5: Solve for x
   x = 81,561,450.39/10,399.13
6. Step 6: Final answer
   x = 7,843.10