Finding the Fourth Proportional to 1,096.27, 1,512.81 and 598.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.27 : 1,512.81 = 598.91 : x
2. Step 2: Convert to fraction form
   1,096.27/1,512.81 = 598.91/x
3. Step 3: Cross multiply
   1,096.27x = 1,512.81 × 598.91
4. Step 4: Simplify right side
   1,096.27x = 906,037.04
5. Step 5: Solve for x
   x = 906,037.04/1,096.27
6. Step 6: Final answer
   x = 826.47