Finding the Fourth Proportional to 10,354.25, 14,288.76 and 5,638.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.25 : 14,288.76 = 5,638.61 : x
2. Step 2: Convert to fraction form
   10,354.25/14,288.76 = 5,638.61/x
3. Step 3: Cross multiply
   10,354.25x = 14,288.76 × 5,638.61
4. Step 4: Simplify right side
   10,354.25x = 80,568,673.58
5. Step 5: Solve for x
   x = 80,568,673.58/10,354.25
6. Step 6: Final answer
   x = 7,781.22