Finding the Fourth Proportional to 10,344.69, 14,275.97 and 5,629.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,344.69 : 14,275.97 = 5,629.27 : x
2. Step 2: Convert to fraction form
   10,344.69/14,275.97 = 5,629.27/x
3. Step 3: Cross multiply
   10,344.69x = 14,275.97 × 5,629.27
4. Step 4: Simplify right side
   10,344.69x = 80,363,289.64
5. Step 5: Solve for x
   x = 80,363,289.64/10,344.69
6. Step 6: Final answer
   x = 7,768.55