Finding the Fourth Proportional to 2,597.29, 3,896.16 and 748.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.29 : 3,896.16 = 748.56 : x
2. Step 2: Convert to fraction form
   2,597.29/3,896.16 = 748.56/x
3. Step 3: Cross multiply
   2,597.29x = 3,896.16 × 748.56
4. Step 4: Simplify right side
   2,597.29x = 2,916,509.53
5. Step 5: Solve for x
   x = 2,916,509.53/2,597.29
6. Step 6: Final answer
   x = 1,122.90