Finding the Fourth Proportional to 1,096.56, 1,513.22 and 599.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.56 : 1,513.22 = 599.16 : x
2. Step 2: Convert to fraction form
   1,096.56/1,513.22 = 599.16/x
3. Step 3: Cross multiply
   1,096.56x = 1,513.22 × 599.16
4. Step 4: Simplify right side
   1,096.56x = 906,660.90
5. Step 5: Solve for x
   x = 906,660.90/1,096.56
6. Step 6: Final answer
   x = 826.82