Finding the Fourth Proportional to 1,096.09, 1,512.59 and 598.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.09 : 1,512.59 = 598.72 : x
2. Step 2: Convert to fraction form
   1,096.09/1,512.59 = 598.72/x
3. Step 3: Cross multiply
   1,096.09x = 1,512.59 × 598.72
4. Step 4: Simplify right side
   1,096.09x = 905,613.06
5. Step 5: Solve for x
   x = 905,613.06/1,096.09
6. Step 6: Final answer
   x = 826.22