Finding the Fourth Proportional to 1,150.82, 1,724.71 and 419.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.82 : 1,724.71 = 419.69 : x
2. Step 2: Convert to fraction form
   1,150.82/1,724.71 = 419.69/x
3. Step 3: Cross multiply
   1,150.82x = 1,724.71 × 419.69
4. Step 4: Simplify right side
   1,150.82x = 723,843.54
5. Step 5: Solve for x
   x = 723,843.54/1,150.82
6. Step 6: Final answer
   x = 628.98