Finding the Fourth Proportional to 3,830.96, 5,286.56 and 2,258.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.96 : 5,286.56 = 2,258.72 : x
2. Step 2: Convert to fraction form
   3,830.96/5,286.56 = 2,258.72/x
3. Step 3: Cross multiply
   3,830.96x = 5,286.56 × 2,258.72
4. Step 4: Simplify right side
   3,830.96x = 11,940,858.80
5. Step 5: Solve for x
   x = 11,940,858.80/3,830.96
6. Step 6: Final answer
   x = 3,116.94