Finding the Fourth Proportional to 1,150.27, 1,723.86 and 419.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.27 : 1,723.86 = 419.15 : x
2. Step 2: Convert to fraction form
   1,150.27/1,723.86 = 419.15/x
3. Step 3: Cross multiply
   1,150.27x = 1,723.86 × 419.15
4. Step 4: Simplify right side
   1,150.27x = 722,560.23
5. Step 5: Solve for x
   x = 722,560.23/1,150.27
6. Step 6: Final answer
   x = 628.17