Finding the Fourth Proportional to 2,567.84, 3,540.38 and 1,682.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.84 : 3,540.38 = 1,682.24 : x
2. Step 2: Convert to fraction form
   2,567.84/3,540.38 = 1,682.24/x
3. Step 3: Cross multiply
   2,567.84x = 3,540.38 × 1,682.24
4. Step 4: Simplify right side
   2,567.84x = 5,955,768.85
5. Step 5: Solve for x
   x = 5,955,768.85/2,567.84
6. Step 6: Final answer
   x = 2,319.37