Finding the Fourth Proportional to 2,567.10, 3,847.64 and 2,258.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.10 : 3,847.64 = 2,258.31 : x
2. Step 2: Convert to fraction form
   2,567.10/3,847.64 = 2,258.31/x
3. Step 3: Cross multiply
   2,567.10x = 3,847.64 × 2,258.31
4. Step 4: Simplify right side
   2,567.10x = 8,689,152.60
5. Step 5: Solve for x
   x = 8,689,152.60/2,567.10
6. Step 6: Final answer
   x = 3,384.81