Finding the Fourth Proportional to 10,399.50, 14,351.36 and 5,683.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.50 : 14,351.36 = 5,683.77 : x
2. Step 2: Convert to fraction form
   10,399.50/14,351.36 = 5,683.77/x
3. Step 3: Cross multiply
   10,399.50x = 14,351.36 × 5,683.77
4. Step 4: Simplify right side
   10,399.50x = 81,569,801.01
5. Step 5: Solve for x
   x = 81,569,801.01/10,399.50
6. Step 6: Final answer
   x = 7,843.63