Finding the Fourth Proportional to 1,096.27, 1,512.88 and 598.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.27 : 1,512.88 = 598.93 : x
2. Step 2: Convert to fraction form
   1,096.27/1,512.88 = 598.93/x
3. Step 3: Cross multiply
   1,096.27x = 1,512.88 × 598.93
4. Step 4: Simplify right side
   1,096.27x = 906,103.94
5. Step 5: Solve for x
   x = 906,103.94/1,096.27
6. Step 6: Final answer
   x = 826.54