Finding the Fourth Proportional to 10,399.49, 14,351.27 and 5,683.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.49 : 14,351.27 = 5,683.80 : x
2. Step 2: Convert to fraction form
   10,399.49/14,351.27 = 5,683.80/x
3. Step 3: Cross multiply
   10,399.49x = 14,351.27 × 5,683.80
4. Step 4: Simplify right side
   10,399.49x = 81,569,720.01
5. Step 5: Solve for x
   x = 81,569,720.01/10,399.49
6. Step 6: Final answer
   x = 7,843.63