Finding the Fourth Proportional to 1,097.33, 1,514.30 and 599.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.33 : 1,514.30 = 599.96 : x
2. Step 2: Convert to fraction form
   1,097.33/1,514.30 = 599.96/x
3. Step 3: Cross multiply
   1,097.33x = 1,514.30 × 599.96
4. Step 4: Simplify right side
   1,097.33x = 908,508.86
5. Step 5: Solve for x
   x = 908,508.86/1,097.33
6. Step 6: Final answer
   x = 827.93