Finding the Fourth Proportional to 1,097.15, 1,514.17 and 599.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.15 : 1,514.17 = 599.86 : x
2. Step 2: Convert to fraction form
   1,097.15/1,514.17 = 599.86/x
3. Step 3: Cross multiply
   1,097.15x = 1,514.17 × 599.86
4. Step 4: Simplify right side
   1,097.15x = 908,290.02
5. Step 5: Solve for x
   x = 908,290.02/1,097.15
6. Step 6: Final answer
   x = 827.86