Finding the Fourth Proportional to 1,096.06, 1,512.57 and 598.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.06 : 1,512.57 = 598.71 : x
2. Step 2: Convert to fraction form
   1,096.06/1,512.57 = 598.71/x
3. Step 3: Cross multiply
   1,096.06x = 1,512.57 × 598.71
4. Step 4: Simplify right side
   1,096.06x = 905,590.78
5. Step 5: Solve for x
   x = 905,590.78/1,096.06
6. Step 6: Final answer
   x = 826.22