Finding the Fourth Proportional to 2,158.06, 2,978.14 and 1,413.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.06 : 2,978.14 = 1,413.26 : x
2. Step 2: Convert to fraction form
   2,158.06/2,978.14 = 1,413.26/x
3. Step 3: Cross multiply
   2,158.06x = 2,978.14 × 1,413.26
4. Step 4: Simplify right side
   2,158.06x = 4,208,886.14
5. Step 5: Solve for x
   x = 4,208,886.14/2,158.06
6. Step 6: Final answer
   x = 1,950.31