Finding the Fourth Proportional to 2,645.97, 3,967.61 and 1,413.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.97 : 3,967.61 = 1,413.15 : x
2. Step 2: Convert to fraction form
   2,645.97/3,967.61 = 1,413.15/x
3. Step 3: Cross multiply
   2,645.97x = 3,967.61 × 1,413.15
4. Step 4: Simplify right side
   2,645.97x = 5,606,821.01
5. Step 5: Solve for x
   x = 5,606,821.01/2,645.97
6. Step 6: Final answer
   x = 2,119.00