Finding the Fourth Proportional to 1,413.72, 2,118.96 and 682.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.72 : 2,118.96 = 682.20 : x
2. Step 2: Convert to fraction form
   1,413.72/2,118.96 = 682.20/x
3. Step 3: Cross multiply
   1,413.72x = 2,118.96 × 682.20
4. Step 4: Simplify right side
   1,413.72x = 1,445,554.51
5. Step 5: Solve for x
   x = 1,445,554.51/1,413.72
6. Step 6: Final answer
   x = 1,022.52