Finding the Fourth Proportional to 2,569.82, 3,836.13 and 2,258.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.82 : 3,836.13 = 2,258.42 : x
2. Step 2: Convert to fraction form
   2,569.82/3,836.13 = 2,258.42/x
3. Step 3: Cross multiply
   2,569.82x = 3,836.13 × 2,258.42
4. Step 4: Simplify right side
   2,569.82x = 8,663,592.71
5. Step 5: Solve for x
   x = 8,663,592.71/2,569.82
6. Step 6: Final answer
   x = 3,371.28