Finding the Fourth Proportional to 1,397.57, 2,096.82 and 748.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.57 : 2,096.82 = 748.16 : x
2. Step 2: Convert to fraction form
   1,397.57/2,096.82 = 748.16/x
3. Step 3: Cross multiply
   1,397.57x = 2,096.82 × 748.16
4. Step 4: Simplify right side
   1,397.57x = 1,568,756.85
5. Step 5: Solve for x
   x = 1,568,756.85/1,397.57
6. Step 6: Final answer
   x = 1,122.49