Finding the Fourth Proportional to 2,506.88, 3,760.61 and 1,413.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.88 : 3,760.61 = 1,413.38 : x
2. Step 2: Convert to fraction form
   2,506.88/3,760.61 = 1,413.38/x
3. Step 3: Cross multiply
   2,506.88x = 3,760.61 × 1,413.38
4. Step 4: Simplify right side
   2,506.88x = 5,315,173.30
5. Step 5: Solve for x
   x = 5,315,173.30/2,506.88
6. Step 6: Final answer
   x = 2,120.23