Finding the Fourth Proportional to 1,608.89, 2,413.76 and 513.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.89 : 2,413.76 = 513.27 : x
2. Step 2: Convert to fraction form
   1,608.89/2,413.76 = 513.27/x
3. Step 3: Cross multiply
   1,608.89x = 2,413.76 × 513.27
4. Step 4: Simplify right side
   1,608.89x = 1,238,908.03
5. Step 5: Solve for x
   x = 1,238,908.03/1,608.89
6. Step 6: Final answer
   x = 770.04