Finding the Fourth Proportional to 10,454.02, 14,426.16 and 5,738.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.02 : 14,426.16 = 5,738.02 : x
2. Step 2: Convert to fraction form
   10,454.02/14,426.16 = 5,738.02/x
3. Step 3: Cross multiply
   10,454.02x = 14,426.16 × 5,738.02
4. Step 4: Simplify right side
   10,454.02x = 82,777,594.60
5. Step 5: Solve for x
   x = 82,777,594.60/10,454.02
6. Step 6: Final answer
   x = 7,918.25