Finding the Fourth Proportional to 10,454.16, 14,426.58 and 5,738.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.16 : 14,426.58 = 5,738.40 : x
2. Step 2: Convert to fraction form
   10,454.16/14,426.58 = 5,738.40/x
3. Step 3: Cross multiply
   10,454.16x = 14,426.58 × 5,738.40
4. Step 4: Simplify right side
   10,454.16x = 82,785,486.67
5. Step 5: Solve for x
   x = 82,785,486.67/10,454.16
6. Step 6: Final answer
   x = 7,918.90