Finding the Fourth Proportional to 2,564.63, 3,849.98 and 2,158.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.63 : 3,849.98 = 2,158.82 : x
2. Step 2: Convert to fraction form
   2,564.63/3,849.98 = 2,158.82/x
3. Step 3: Cross multiply
   2,564.63x = 3,849.98 × 2,158.82
4. Step 4: Simplify right side
   2,564.63x = 8,311,413.82
5. Step 5: Solve for x
   x = 8,311,413.82/2,564.63
6. Step 6: Final answer
   x = 3,240.78