Finding the Fourth Proportional to 1,149.92, 1,723.83 and 419.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.92 : 1,723.83 = 419.34 : x
2. Step 2: Convert to fraction form
   1,149.92/1,723.83 = 419.34/x
3. Step 3: Cross multiply
   1,149.92x = 1,723.83 × 419.34
4. Step 4: Simplify right side
   1,149.92x = 722,870.87
5. Step 5: Solve for x
   x = 722,870.87/1,149.92
6. Step 6: Final answer
   x = 628.63