Finding the Fourth Proportional to 1,020.16, 1,408.42 and 740.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.16 : 1,408.42 = 740.13 : x
2. Step 2: Convert to fraction form
   1,020.16/1,408.42 = 740.13/x
3. Step 3: Cross multiply
   1,020.16x = 1,408.42 × 740.13
4. Step 4: Simplify right side
   1,020.16x = 1,042,413.89
5. Step 5: Solve for x
   x = 1,042,413.89/1,020.16
6. Step 6: Final answer
   x = 1,021.81