Finding the Fourth Proportional to 1,413.15, 1,946.12 and 1,019.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.15 : 1,946.12 = 1,019.55 : x
2. Step 2: Convert to fraction form
   1,413.15/1,946.12 = 1,019.55/x
3. Step 3: Cross multiply
   1,413.15x = 1,946.12 × 1,019.55
4. Step 4: Simplify right side
   1,413.15x = 1,984,161.55
5. Step 5: Solve for x
   x = 1,984,161.55/1,413.15
6. Step 6: Final answer
   x = 1,404.07