Finding the Fourth Proportional to 1,150.14, 1,725.47 and 419.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.14 : 1,725.47 = 419.72 : x
2. Step 2: Convert to fraction form
   1,150.14/1,725.47 = 419.72/x
3. Step 3: Cross multiply
   1,150.14x = 1,725.47 × 419.72
4. Step 4: Simplify right side
   1,150.14x = 724,209.43
5. Step 5: Solve for x
   x = 724,209.43/1,150.14
6. Step 6: Final answer
   x = 629.67