Finding the Fourth Proportional to 2,565.24, 3,541.56 and 1,682.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.24 : 3,541.56 = 1,682.57 : x
2. Step 2: Convert to fraction form
   2,565.24/3,541.56 = 1,682.57/x
3. Step 3: Cross multiply
   2,565.24x = 3,541.56 × 1,682.57
4. Step 4: Simplify right side
   2,565.24x = 5,958,925.15
5. Step 5: Solve for x
   x = 5,958,925.15/2,565.24
6. Step 6: Final answer
   x = 2,322.95