Finding the Fourth Proportional to 10,444.88, 14,413.92 and 5,729.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444.88 : 14,413.92 = 5,729.16 : x
2. Step 2: Convert to fraction form
   10,444.88/14,413.92 = 5,729.16/x
3. Step 3: Cross multiply
   10,444.88x = 14,413.92 × 5,729.16
4. Step 4: Simplify right side
   10,444.88x = 82,579,653.91
5. Step 5: Solve for x
   x = 82,579,653.91/10,444.88
6. Step 6: Final answer
   x = 7,906.23