Finding the Fourth Proportional to 1,077.27, 1,616.52 and 419.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.27 : 1,616.52 = 419.06 : x
2. Step 2: Convert to fraction form
   1,077.27/1,616.52 = 419.06/x
3. Step 3: Cross multiply
   1,077.27x = 1,616.52 × 419.06
4. Step 4: Simplify right side
   1,077.27x = 677,419.92
5. Step 5: Solve for x
   x = 677,419.92/1,077.27
6. Step 6: Final answer
   x = 628.83