Finding the Fourth Proportional to 10,454.11, 14,426.24 and 5,738.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.11 : 14,426.24 = 5,738.49 : x
2. Step 2: Convert to fraction form
   10,454.11/14,426.24 = 5,738.49/x
3. Step 3: Cross multiply
   10,454.11x = 14,426.24 × 5,738.49
4. Step 4: Simplify right side
   10,454.11x = 82,784,805.29
5. Step 5: Solve for x
   x = 82,784,805.29/10,454.11
6. Step 6: Final answer
   x = 7,918.88