Finding the Fourth Proportional to 10,399.75, 14,351.70 and 5,684.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.75 : 14,351.70 = 5,684.02 : x
2. Step 2: Convert to fraction form
   10,399.75/14,351.70 = 5,684.02/x
3. Step 3: Cross multiply
   10,399.75x = 14,351.70 × 5,684.02
4. Step 4: Simplify right side
   10,399.75x = 81,575,349.83
5. Step 5: Solve for x
   x = 81,575,349.83/10,399.75
6. Step 6: Final answer
   x = 7,843.97