Finding the Fourth Proportional to 2,597.54, 3,896.89 and 842.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.54 : 3,896.89 = 842.72 : x
2. Step 2: Convert to fraction form
   2,597.54/3,896.89 = 842.72/x
3. Step 3: Cross multiply
   2,597.54x = 3,896.89 × 842.72
4. Step 4: Simplify right side
   2,597.54x = 3,283,965.55
5. Step 5: Solve for x
   x = 3,283,965.55/2,597.54
6. Step 6: Final answer
   x = 1,264.26