Finding the Fourth Proportional to 1,150.83, 1,724.72 and 419.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.83 : 1,724.72 = 419.72 : x
2. Step 2: Convert to fraction form
   1,150.83/1,724.72 = 419.72/x
3. Step 3: Cross multiply
   1,150.83x = 1,724.72 × 419.72
4. Step 4: Simplify right side
   1,150.83x = 723,888.76
5. Step 5: Solve for x
   x = 723,888.76/1,150.83
6. Step 6: Final answer
   x = 629.01