Finding the Fourth Proportional to 2,413.59, 3,620.12 and 1,638.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,413.59 : 3,620.12 = 1,638.57 : x
2. Step 2: Convert to fraction form
   2,413.59/3,620.12 = 1,638.57/x
3. Step 3: Cross multiply
   2,413.59x = 3,620.12 × 1,638.57
4. Step 4: Simplify right side
   2,413.59x = 5,931,811.84
5. Step 5: Solve for x
   x = 5,931,811.84/2,413.59
6. Step 6: Final answer
   x = 2,457.67