Finding the Fourth Proportional to 1,149.69, 1,723.69 and 419.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.69 : 1,723.69 = 419.27 : x
2. Step 2: Convert to fraction form
   1,149.69/1,723.69 = 419.27/x
3. Step 3: Cross multiply
   1,149.69x = 1,723.69 × 419.27
4. Step 4: Simplify right side
   1,149.69x = 722,689.41
5. Step 5: Solve for x
   x = 722,689.41/1,149.69
6. Step 6: Final answer
   x = 628.60