Finding the Fourth Proportional to 1,413.46, 2,118.52 and 828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.46 : 2,118.52 = 828.75 : x
2. Step 2: Convert to fraction form
   1,413.46/2,118.52 = 828.75/x
3. Step 3: Cross multiply
   1,413.46x = 2,118.52 × 828.75
4. Step 4: Simplify right side
   1,413.46x = 1,755,723.45
5. Step 5: Solve for x
   x = 1,755,723.45/1,413.46
6. Step 6: Final answer
   x = 1,242.15