Finding the Fourth Proportional to 1,096.58, 1,513.27 and 599.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.58 : 1,513.27 = 599.23 : x
2. Step 2: Convert to fraction form
   1,096.58/1,513.27 = 599.23/x
3. Step 3: Cross multiply
   1,096.58x = 1,513.27 × 599.23
4. Step 4: Simplify right side
   1,096.58x = 906,796.78
5. Step 5: Solve for x
   x = 906,796.78/1,096.58
6. Step 6: Final answer
   x = 826.93