Finding the Fourth Proportional to 10,329.80, 14,255.04 and 5,614.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,329.80 : 14,255.04 = 5,614.09 : x
2. Step 2: Convert to fraction form
   10,329.80/14,255.04 = 5,614.09/x
3. Step 3: Cross multiply
   10,329.80x = 14,255.04 × 5,614.09
4. Step 4: Simplify right side
   10,329.80x = 80,029,041.88
5. Step 5: Solve for x
   x = 80,029,041.88/10,329.80
6. Step 6: Final answer
   x = 7,747.39