Finding the Fourth Proportional to 1,150.71, 1,724.53 and 419.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.71 : 1,724.53 = 419.59 : x
2. Step 2: Convert to fraction form
   1,150.71/1,724.53 = 419.59/x
3. Step 3: Cross multiply
   1,150.71x = 1,724.53 × 419.59
4. Step 4: Simplify right side
   1,150.71x = 723,595.54
5. Step 5: Solve for x
   x = 723,595.54/1,150.71
6. Step 6: Final answer
   x = 628.83