Finding the Fourth Proportional to 2,605.73, 3,574.50 and 2,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.73 : 3,574.50 = 2,464.50 : x
2. Step 2: Convert to fraction form
   2,605.73/3,574.50 = 2,464.50/x
3. Step 3: Cross multiply
   2,605.73x = 3,574.50 × 2,464.50
4. Step 4: Simplify right side
   2,605.73x = 8,809,342.93
5. Step 5: Solve for x
   x = 8,809,342.93/2,605.73
6. Step 6: Final answer
   x = 3,380.76