Finding the Fourth Proportional to 3,830.46, 5,284.71 and 2,258.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.46 : 5,284.71 = 2,258.22 : x
2. Step 2: Convert to fraction form
   3,830.46/5,284.71 = 2,258.22/x
3. Step 3: Cross multiply
   3,830.46x = 5,284.71 × 2,258.22
4. Step 4: Simplify right side
   3,830.46x = 11,934,037.82
5. Step 5: Solve for x
   x = 11,934,037.82/3,830.46
6. Step 6: Final answer
   x = 3,115.56