Finding the Fourth Proportional to 1,180.81, 1,629.54 and 649.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.81 : 1,629.54 = 649.69 : x
2. Step 2: Convert to fraction form
   1,180.81/1,629.54 = 649.69/x
3. Step 3: Cross multiply
   1,180.81x = 1,629.54 × 649.69
4. Step 4: Simplify right side
   1,180.81x = 1,058,687.69
5. Step 5: Solve for x
   x = 1,058,687.69/1,180.81
6. Step 6: Final answer
   x = 896.58