Finding the Fourth Proportional to 2,555.86, 3,834.15 and 1,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.86 : 3,834.15 = 1,016.50 : x
2. Step 2: Convert to fraction form
   2,555.86/3,834.15 = 1,016.50/x
3. Step 3: Cross multiply
   2,555.86x = 3,834.15 × 1,016.50
4. Step 4: Simplify right side
   2,555.86x = 3,897,413.48
5. Step 5: Solve for x
   x = 3,897,413.48/2,555.86
6. Step 6: Final answer
   x = 1,524.89