Finding the Fourth Proportional to 1,413.88, 2,119.89 and 682.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.88 : 2,119.89 = 682.76 : x
2. Step 2: Convert to fraction form
   1,413.88/2,119.89 = 682.76/x
3. Step 3: Cross multiply
   1,413.88x = 2,119.89 × 682.76
4. Step 4: Simplify right side
   1,413.88x = 1,447,376.10
5. Step 5: Solve for x
   x = 1,447,376.10/1,413.88
6. Step 6: Final answer
   x = 1,023.69