Finding the Fourth Proportional to 2,077.91, 2,864.27 and 1,413.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.91 : 2,864.27 = 1,413.62 : x
2. Step 2: Convert to fraction form
   2,077.91/2,864.27 = 1,413.62/x
3. Step 3: Cross multiply
   2,077.91x = 2,864.27 × 1,413.62
4. Step 4: Simplify right side
   2,077.91x = 4,048,978.57
5. Step 5: Solve for x
   x = 4,048,978.57/2,077.91
6. Step 6: Final answer
   x = 1,948.59