Finding the Fourth Proportional to 10,400.30, 14,352.39 and 5,684.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400.30 : 14,352.39 = 5,684.62 : x
2. Step 2: Convert to fraction form
   10,400.30/14,352.39 = 5,684.62/x
3. Step 3: Cross multiply
   10,400.30x = 14,352.39 × 5,684.62
4. Step 4: Simplify right side
   10,400.30x = 81,587,783.06
5. Step 5: Solve for x
   x = 81,587,783.06/10,400.30
6. Step 6: Final answer
   x = 7,844.75