Finding the Fourth Proportional to 1,150.32, 1,725.42 and 419.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.32 : 1,725.42 = 419.82 : x
2. Step 2: Convert to fraction form
   1,150.32/1,725.42 = 419.82/x
3. Step 3: Cross multiply
   1,150.32x = 1,725.42 × 419.82
4. Step 4: Simplify right side
   1,150.32x = 724,365.82
5. Step 5: Solve for x
   x = 724,365.82/1,150.32
6. Step 6: Final answer
   x = 629.71