Finding the Fourth Proportional to 1,150.47, 1,724.16 and 419.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.47 : 1,724.16 = 419.34 : x
2. Step 2: Convert to fraction form
   1,150.47/1,724.16 = 419.34/x
3. Step 3: Cross multiply
   1,150.47x = 1,724.16 × 419.34
4. Step 4: Simplify right side
   1,150.47x = 723,009.25
5. Step 5: Solve for x
   x = 723,009.25/1,150.47
6. Step 6: Final answer
   x = 628.45