Finding the Fourth Proportional to 1,096.83, 1,513.62 and 599.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.83 : 1,513.62 = 599.49 : x
2. Step 2: Convert to fraction form
   1,096.83/1,513.62 = 599.49/x
3. Step 3: Cross multiply
   1,096.83x = 1,513.62 × 599.49
4. Step 4: Simplify right side
   1,096.83x = 907,392.49
5. Step 5: Solve for x
   x = 907,392.49/1,096.83
6. Step 6: Final answer
   x = 827.29