Finding the Fourth Proportional to 1,097.72, 1,514.86 and 649.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.72 : 1,514.86 = 649.90 : x
2. Step 2: Convert to fraction form
   1,097.72/1,514.86 = 649.90/x
3. Step 3: Cross multiply
   1,097.72x = 1,514.86 × 649.90
4. Step 4: Simplify right side
   1,097.72x = 984,507.78
5. Step 5: Solve for x
   x = 984,507.78/1,097.72
6. Step 6: Final answer
   x = 896.86