Finding the Fourth Proportional to 1,413.18, 2,120.37 and 683.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.18 : 2,120.37 = 683.30 : x
2. Step 2: Convert to fraction form
   1,413.18/2,120.37 = 683.30/x
3. Step 3: Cross multiply
   1,413.18x = 2,120.37 × 683.30
4. Step 4: Simplify right side
   1,413.18x = 1,448,848.82
5. Step 5: Solve for x
   x = 1,448,848.82/1,413.18
6. Step 6: Final answer
   x = 1,025.24