Finding the Fourth Proportional to 1,096.74, 1,513.50 and 599.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.74 : 1,513.50 = 599.37 : x
2. Step 2: Convert to fraction form
   1,096.74/1,513.50 = 599.37/x
3. Step 3: Cross multiply
   1,096.74x = 1,513.50 × 599.37
4. Step 4: Simplify right side
   1,096.74x = 907,146.50
5. Step 5: Solve for x
   x = 907,146.50/1,096.74
6. Step 6: Final answer
   x = 827.13