Finding the Fourth Proportional to 2,413.60, 3,619.49 and 1,026.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.60 : 3,619.49 = 1,026.07 : x
2. Step 2: Convert to fraction form
   2,413.60/3,619.49 = 1,026.07/x
3. Step 3: Cross multiply
   2,413.60x = 3,619.49 × 1,026.07
4. Step 4: Simplify right side
   2,413.60x = 3,713,835.93
5. Step 5: Solve for x
   x = 3,713,835.93/2,413.60
6. Step 6: Final answer
   x = 1,538.71