Finding the Fourth Proportional to 10,454.46, 14,426.31 and 5,738.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.46 : 14,426.31 = 5,738.58 : x
2. Step 2: Convert to fraction form
   10,454.46/14,426.31 = 5,738.58/x
3. Step 3: Cross multiply
   10,454.46x = 14,426.31 × 5,738.58
4. Step 4: Simplify right side
   10,454.46x = 82,786,534.04
5. Step 5: Solve for x
   x = 82,786,534.04/10,454.46
6. Step 6: Final answer
   x = 7,918.78