Finding the Fourth Proportional to 1,603.94, 2,406.00 and 449.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.94 : 2,406.00 = 449.78 : x
2. Step 2: Convert to fraction form
   1,603.94/2,406.00 = 449.78/x
3. Step 3: Cross multiply
   1,603.94x = 2,406.00 × 449.78
4. Step 4: Simplify right side
   1,603.94x = 1,082,168.43
5. Step 5: Solve for x
   x = 1,082,168.43/1,603.94
6. Step 6: Final answer
   x = 674.69