Finding the Fourth Proportional to 2,159.10, 2,978.82 and 1,413.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.10 : 2,978.82 = 1,413.90 : x
2. Step 2: Convert to fraction form
   2,159.10/2,978.82 = 1,413.90/x
3. Step 3: Cross multiply
   2,159.10x = 2,978.82 × 1,413.90
4. Step 4: Simplify right side
   2,159.10x = 4,211,753.60
5. Step 5: Solve for x
   x = 4,211,753.60/2,159.10
6. Step 6: Final answer
   x = 1,950.70