Finding the Fourth Proportional to 1,096.88, 1,513.69 and 599.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.88 : 1,513.69 = 599.53 : x
2. Step 2: Convert to fraction form
   1,096.88/1,513.69 = 599.53/x
3. Step 3: Cross multiply
   1,096.88x = 1,513.69 × 599.53
4. Step 4: Simplify right side
   1,096.88x = 907,502.57
5. Step 5: Solve for x
   x = 907,502.57/1,096.88
6. Step 6: Final answer
   x = 827.35