Finding the Fourth Proportional to 1,096.77, 1,513.56 and 599.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.77 : 1,513.56 = 599.43 : x
2. Step 2: Convert to fraction form
   1,096.77/1,513.56 = 599.43/x
3. Step 3: Cross multiply
   1,096.77x = 1,513.56 × 599.43
4. Step 4: Simplify right side
   1,096.77x = 907,273.27
5. Step 5: Solve for x
   x = 907,273.27/1,096.77
6. Step 6: Final answer
   x = 827.22