Finding the Fourth Proportional to 1,413.16, 1,947.42 and 1,019.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.16 : 1,947.42 = 1,019.44 : x
2. Step 2: Convert to fraction form
   1,413.16/1,947.42 = 1,019.44/x
3. Step 3: Cross multiply
   1,413.16x = 1,947.42 × 1,019.44
4. Step 4: Simplify right side
   1,413.16x = 1,985,277.84
5. Step 5: Solve for x
   x = 1,985,277.84/1,413.16
6. Step 6: Final answer
   x = 1,404.85