Finding the Fourth Proportional to 1,097.19, 1,514.05 and 599.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.19 : 1,514.05 = 599.83 : x
2. Step 2: Convert to fraction form
   1,097.19/1,514.05 = 599.83/x
3. Step 3: Cross multiply
   1,097.19x = 1,514.05 × 599.83
4. Step 4: Simplify right side
   1,097.19x = 908,167.33
5. Step 5: Solve for x
   x = 908,167.33/1,097.19
6. Step 6: Final answer
   x = 827.72