Finding the Fourth Proportional to 10,399.92, 14,351.73 and 5,684.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.92 : 14,351.73 = 5,684.16 : x
2. Step 2: Convert to fraction form
   10,399.92/14,351.73 = 5,684.16/x
3. Step 3: Cross multiply
   10,399.92x = 14,351.73 × 5,684.16
4. Step 4: Simplify right side
   10,399.92x = 81,577,529.60
5. Step 5: Solve for x
   x = 81,577,529.60/10,399.92
6. Step 6: Final answer
   x = 7,844.05