Finding the Fourth Proportional to 1,413.71, 1,946.89 and 1,020.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.71 : 1,946.89 = 1,020.11 : x
2. Step 2: Convert to fraction form
   1,413.71/1,946.89 = 1,020.11/x
3. Step 3: Cross multiply
   1,413.71x = 1,946.89 × 1,020.11
4. Step 4: Simplify right side
   1,413.71x = 1,986,048.10
5. Step 5: Solve for x
   x = 1,986,048.10/1,413.71
6. Step 6: Final answer
   x = 1,404.85