Finding the Fourth Proportional to 10,454.09, 14,426.15 and 5,738.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.09 : 14,426.15 = 5,738.27 : x
2. Step 2: Convert to fraction form
   10,454.09/14,426.15 = 5,738.27/x
3. Step 3: Cross multiply
   10,454.09x = 14,426.15 × 5,738.27
4. Step 4: Simplify right side
   10,454.09x = 82,781,042.94
5. Step 5: Solve for x
   x = 82,781,042.94/10,454.09
6. Step 6: Final answer
   x = 7,918.54