Finding the Fourth Proportional to 9,723.30, 13,413.57 and 5,741.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723.30 : 13,413.57 = 5,741.76 : x
2. Step 2: Convert to fraction form
   9,723.30/13,413.57 = 5,741.76/x
3. Step 3: Cross multiply
   9,723.30x = 13,413.57 × 5,741.76
4. Step 4: Simplify right side
   9,723.30x = 77,017,499.68
5. Step 5: Solve for x
   x = 77,017,499.68/9,723.30
6. Step 6: Final answer
   x = 7,920.92