Finding the Fourth Proportional to 1,096.71, 1,513.40 and 599.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.71 : 1,513.40 = 599.35 : x
2. Step 2: Convert to fraction form
   1,096.71/1,513.40 = 599.35/x
3. Step 3: Cross multiply
   1,096.71x = 1,513.40 × 599.35
4. Step 4: Simplify right side
   1,096.71x = 907,055.72
5. Step 5: Solve for x
   x = 907,055.72/1,096.71
6. Step 6: Final answer
   x = 827.07