Finding the Fourth Proportional to 2,646.24, 3,968.20 and 1,413.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.24 : 3,968.20 = 1,413.37 : x
2. Step 2: Convert to fraction form
   2,646.24/3,968.20 = 1,413.37/x
3. Step 3: Cross multiply
   2,646.24x = 3,968.20 × 1,413.37
4. Step 4: Simplify right side
   2,646.24x = 5,608,534.83
5. Step 5: Solve for x
   x = 5,608,534.83/2,646.24
6. Step 6: Final answer
   x = 2,119.44