Finding the Fourth Proportional to 1,096.94, 1,513.82 and 599.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.94 : 1,513.82 = 599.57 : x
2. Step 2: Convert to fraction form
   1,096.94/1,513.82 = 599.57/x
3. Step 3: Cross multiply
   1,096.94x = 1,513.82 × 599.57
4. Step 4: Simplify right side
   1,096.94x = 907,640.66
5. Step 5: Solve for x
   x = 907,640.66/1,096.94
6. Step 6: Final answer
   x = 827.43