Finding the Fourth Proportional to 10,454.06, 14,426.61 and 5,738.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.06 : 14,426.61 = 5,738.24 : x
2. Step 2: Convert to fraction form
   10,454.06/14,426.61 = 5,738.24/x
3. Step 3: Cross multiply
   10,454.06x = 14,426.61 × 5,738.24
4. Step 4: Simplify right side
   10,454.06x = 82,783,365.11
5. Step 5: Solve for x
   x = 82,783,365.11/10,454.06
6. Step 6: Final answer
   x = 7,918.77