Finding the Fourth Proportional to 10,454.61, 14,426.88 and 5,738.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.61 : 14,426.88 = 5,738.97 : x
2. Step 2: Convert to fraction form
   10,454.61/14,426.88 = 5,738.97/x
3. Step 3: Cross multiply
   10,454.61x = 14,426.88 × 5,738.97
4. Step 4: Simplify right side
   10,454.61x = 82,795,431.51
5. Step 5: Solve for x
   x = 82,795,431.51/10,454.61
6. Step 6: Final answer
   x = 7,919.51