Finding the Fourth Proportional to 9,413.13, 12,990.22 and 5,164.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.13 : 12,990.22 = 5,164.20 : x
2. Step 2: Convert to fraction form
   9,413.13/12,990.22 = 5,164.20/x
3. Step 3: Cross multiply
   9,413.13x = 12,990.22 × 5,164.20
4. Step 4: Simplify right side
   9,413.13x = 67,084,100.58
5. Step 5: Solve for x
   x = 67,084,100.58/9,413.13
6. Step 6: Final answer
   x = 7,126.65