Finding the Fourth Proportional to 2,511.72, 3,764.50 and 1,413.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.72 : 3,764.50 = 1,413.78 : x
2. Step 2: Convert to fraction form
   2,511.72/3,764.50 = 1,413.78/x
3. Step 3: Cross multiply
   2,511.72x = 3,764.50 × 1,413.78
4. Step 4: Simplify right side
   2,511.72x = 5,322,171.72
5. Step 5: Solve for x
   x = 5,322,171.72/2,511.72
6. Step 6: Final answer
   x = 2,118.94