Finding the Fourth Proportional to 2,511.10, 3,761.61 and 1,413.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.10 : 3,761.61 = 1,413.82 : x
2. Step 2: Convert to fraction form
   2,511.10/3,761.61 = 1,413.82/x
3. Step 3: Cross multiply
   2,511.10x = 3,761.61 × 1,413.82
4. Step 4: Simplify right side
   2,511.10x = 5,318,239.45
5. Step 5: Solve for x
   x = 5,318,239.45/2,511.10
6. Step 6: Final answer
   x = 2,117.89