Finding the Fourth Proportional to 1,269.78, 1,904.74 and 404.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.78 : 1,904.74 = 404.10 : x
2. Step 2: Convert to fraction form
   1,269.78/1,904.74 = 404.10/x
3. Step 3: Cross multiply
   1,269.78x = 1,904.74 × 404.10
4. Step 4: Simplify right side
   1,269.78x = 769,705.43
5. Step 5: Solve for x
   x = 769,705.43/1,269.78
6. Step 6: Final answer
   x = 606.17