Finding the Fourth Proportional to 9,413.82, 12,989.57 and 5,834.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.82 : 12,989.57 = 5,834.43 : x
2. Step 2: Convert to fraction form
   9,413.82/12,989.57 = 5,834.43/x
3. Step 3: Cross multiply
   9,413.82x = 12,989.57 × 5,834.43
4. Step 4: Simplify right side
   9,413.82x = 75,786,707.72
5. Step 5: Solve for x
   x = 75,786,707.72/9,413.82
6. Step 6: Final answer
   x = 8,050.58