Finding the Fourth Proportional to 12,413.88, 18,594.06 and 5,830.20

Step by Step Solution

1. Step 1: Write the proportion equation
   12,413.88 : 18,594.06 = 5,830.20 : x
2. Step 2: Convert to fraction form
   12,413.88/18,594.06 = 5,830.20/x
3. Step 3: Cross multiply
   12,413.88x = 18,594.06 × 5,830.20
4. Step 4: Simplify right side
   12,413.88x = 108,407,088.61
5. Step 5: Solve for x
   x = 108,407,088.61/12,413.88
6. Step 6: Final answer
   x = 8,732.73