Finding the Fourth Proportional to 1,150.24, 1,726.17 and 419.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.24 : 1,726.17 = 419.85 : x
2. Step 2: Convert to fraction form
   1,150.24/1,726.17 = 419.85/x
3. Step 3: Cross multiply
   1,150.24x = 1,726.17 × 419.85
4. Step 4: Simplify right side
   1,150.24x = 724,732.47
5. Step 5: Solve for x
   x = 724,732.47/1,150.24
6. Step 6: Final answer
   x = 630.07