Finding the Fourth Proportional to 1,096.63, 1,513.34 and 599.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.63 : 1,513.34 = 599.27 : x
2. Step 2: Convert to fraction form
   1,096.63/1,513.34 = 599.27/x
3. Step 3: Cross multiply
   1,096.63x = 1,513.34 × 599.27
4. Step 4: Simplify right side
   1,096.63x = 906,899.26
5. Step 5: Solve for x
   x = 906,899.26/1,096.63
6. Step 6: Final answer
   x = 826.99