Finding the Fourth Proportional to 2,510.65, 3,764.80 and 1,413.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.65 : 3,764.80 = 1,413.55 : x
2. Step 2: Convert to fraction form
   2,510.65/3,764.80 = 1,413.55/x
3. Step 3: Cross multiply
   2,510.65x = 3,764.80 × 1,413.55
4. Step 4: Simplify right side
   2,510.65x = 5,321,733.04
5. Step 5: Solve for x
   x = 5,321,733.04/2,510.65
6. Step 6: Final answer
   x = 2,119.66