Finding the Fourth Proportional to 1,096.57, 1,513.29 and 599.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.57 : 1,513.29 = 599.23 : x
2. Step 2: Convert to fraction form
   1,096.57/1,513.29 = 599.23/x
3. Step 3: Cross multiply
   1,096.57x = 1,513.29 × 599.23
4. Step 4: Simplify right side
   1,096.57x = 906,809.53
5. Step 5: Solve for x
   x = 906,809.53/1,096.57
6. Step 6: Final answer
   x = 826.95