Finding the Fourth Proportional to 1,603.86, 2,403.62 and 1,413.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.86 : 2,403.62 = 1,413.78 : x
2. Step 2: Convert to fraction form
   1,603.86/2,403.62 = 1,413.78/x
3. Step 3: Cross multiply
   1,603.86x = 2,403.62 × 1,413.78
4. Step 4: Simplify right side
   1,603.86x = 3,398,189.88
5. Step 5: Solve for x
   x = 3,398,189.88/1,603.86
6. Step 6: Final answer
   x = 2,118.76