Finding the Fourth Proportional to 1,096.23, 1,512.83 and 598.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.23 : 1,512.83 = 598.86 : x
2. Step 2: Convert to fraction form
   1,096.23/1,512.83 = 598.86/x
3. Step 3: Cross multiply
   1,096.23x = 1,512.83 × 598.86
4. Step 4: Simplify right side
   1,096.23x = 905,974.69
5. Step 5: Solve for x
   x = 905,974.69/1,096.23
6. Step 6: Final answer
   x = 826.44