Finding the Fourth Proportional to 9,413.84, 12,991.10 and 5,222.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.84 : 12,991.10 = 5,222.09 : x
2. Step 2: Convert to fraction form
   9,413.84/12,991.10 = 5,222.09/x
3. Step 3: Cross multiply
   9,413.84x = 12,991.10 × 5,222.09
4. Step 4: Simplify right side
   9,413.84x = 67,840,602.33
5. Step 5: Solve for x
   x = 67,840,602.33/9,413.84
6. Step 6: Final answer
   x = 7,206.48