Finding the Fourth Proportional to 1,150.24, 1,725.33 and 419.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.24 : 1,725.33 = 419.83 : x
2. Step 2: Convert to fraction form
   1,150.24/1,725.33 = 419.83/x
3. Step 3: Cross multiply
   1,150.24x = 1,725.33 × 419.83
4. Step 4: Simplify right side
   1,150.24x = 724,345.29
5. Step 5: Solve for x
   x = 724,345.29/1,150.24
6. Step 6: Final answer
   x = 629.73