Finding the Fourth Proportional to 2,569.52, 3,872.71 and 2,426.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.52 : 3,872.71 = 2,426.46 : x
2. Step 2: Convert to fraction form
   2,569.52/3,872.71 = 2,426.46/x
3. Step 3: Cross multiply
   2,569.52x = 3,872.71 × 2,426.46
4. Step 4: Simplify right side
   2,569.52x = 9,396,964.42
5. Step 5: Solve for x
   x = 9,396,964.42/2,569.52
6. Step 6: Final answer
   x = 3,657.09