Finding the Fourth Proportional to 2,413.09, 3,617.46 and 852.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.09 : 3,617.46 = 852.16 : x
2. Step 2: Convert to fraction form
   2,413.09/3,617.46 = 852.16/x
3. Step 3: Cross multiply
   2,413.09x = 3,617.46 × 852.16
4. Step 4: Simplify right side
   2,413.09x = 3,082,654.71
5. Step 5: Solve for x
   x = 3,082,654.71/2,413.09
6. Step 6: Final answer
   x = 1,277.47