Finding the Fourth Proportional to 2,258.50, 3,117.09 and 1,638.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.50 : 3,117.09 = 1,638.58 : x
2. Step 2: Convert to fraction form
   2,258.50/3,117.09 = 1,638.58/x
3. Step 3: Cross multiply
   2,258.50x = 3,117.09 × 1,638.58
4. Step 4: Simplify right side
   2,258.50x = 5,107,601.33
5. Step 5: Solve for x
   x = 5,107,601.33/2,258.50
6. Step 6: Final answer
   x = 2,261.50