Finding the Fourth Proportional to 1,150.45, 1,724.63 and 419.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.45 : 1,724.63 = 419.51 : x
2. Step 2: Convert to fraction form
   1,150.45/1,724.63 = 419.51/x
3. Step 3: Cross multiply
   1,150.45x = 1,724.63 × 419.51
4. Step 4: Simplify right side
   1,150.45x = 723,490.91
5. Step 5: Solve for x
   x = 723,490.91/1,150.45
6. Step 6: Final answer
   x = 628.88