Finding the Fourth Proportional to 2,569.69, 3,835.94 and 2,258.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.69 : 3,835.94 = 2,258.30 : x
2. Step 2: Convert to fraction form
   2,569.69/3,835.94 = 2,258.30/x
3. Step 3: Cross multiply
   2,569.69x = 3,835.94 × 2,258.30
4. Step 4: Simplify right side
   2,569.69x = 8,662,703.30
5. Step 5: Solve for x
   x = 8,662,703.30/2,569.69
6. Step 6: Final answer
   x = 3,371.11