Finding the Fourth Proportional to 10,400, 14,352.05 and 5,684.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 14,352.05 = 5,684.27 : x
2. Step 2: Convert to fraction form
   10,400/14,352.05 = 5,684.27/x
3. Step 3: Cross multiply
   10,400x = 14,352.05 × 5,684.27
4. Step 4: Simplify right side
   10,400x = 81,580,898.83
5. Step 5: Solve for x
   x = 81,580,898.83/10,400
6. Step 6: Final answer
   x = 7,844.32