Finding the Fourth Proportional to 10,329.34, 14,254.41 and 5,613.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,329.34 : 14,254.41 = 5,613.61 : x
2. Step 2: Convert to fraction form
   10,329.34/14,254.41 = 5,613.61/x
3. Step 3: Cross multiply
   10,329.34x = 14,254.41 × 5,613.61
4. Step 4: Simplify right side
   10,329.34x = 80,018,698.52
5. Step 5: Solve for x
   x = 80,018,698.52/10,329.34
6. Step 6: Final answer
   x = 7,746.74