Finding the Fourth Proportional to 1,096.17, 1,512.69 and 598.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.17 : 1,512.69 = 598.79 : x
2. Step 2: Convert to fraction form
   1,096.17/1,512.69 = 598.79/x
3. Step 3: Cross multiply
   1,096.17x = 1,512.69 × 598.79
4. Step 4: Simplify right side
   1,096.17x = 905,776.08
5. Step 5: Solve for x
   x = 905,776.08/1,096.17
6. Step 6: Final answer
   x = 826.31