Finding the Fourth Proportional to 1,096.33, 1,512.91 and 598.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.33 : 1,512.91 = 598.96 : x
2. Step 2: Convert to fraction form
   1,096.33/1,512.91 = 598.96/x
3. Step 3: Cross multiply
   1,096.33x = 1,512.91 × 598.96
4. Step 4: Simplify right side
   1,096.33x = 906,172.57
5. Step 5: Solve for x
   x = 906,172.57/1,096.33
6. Step 6: Final answer
   x = 826.55