Finding the Fourth Proportional to 1,096.18, 1,512.70 and 598.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.18 : 1,512.70 = 598.82 : x
2. Step 2: Convert to fraction form
   1,096.18/1,512.70 = 598.82/x
3. Step 3: Cross multiply
   1,096.18x = 1,512.70 × 598.82
4. Step 4: Simplify right side
   1,096.18x = 905,825.95
5. Step 5: Solve for x
   x = 905,825.95/1,096.18
6. Step 6: Final answer
   x = 826.35