Finding the Fourth Proportional to 1,097.27, 1,514.28 and 649.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.27 : 1,514.28 = 649.16 : x
2. Step 2: Convert to fraction form
   1,097.27/1,514.28 = 649.16/x
3. Step 3: Cross multiply
   1,097.27x = 1,514.28 × 649.16
4. Step 4: Simplify right side
   1,097.27x = 983,002.43
5. Step 5: Solve for x
   x = 983,002.43/1,097.27
6. Step 6: Final answer
   x = 895.87