Finding the Fourth Proportional to 1,097.25, 1,514.19 and 599.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.25 : 1,514.19 = 599.89 : x
2. Step 2: Convert to fraction form
   1,097.25/1,514.19 = 599.89/x
3. Step 3: Cross multiply
   1,097.25x = 1,514.19 × 599.89
4. Step 4: Simplify right side
   1,097.25x = 908,345.37
5. Step 5: Solve for x
   x = 908,345.37/1,097.25
6. Step 6: Final answer
   x = 827.84