Finding the Fourth Proportional to 727.25, 1,003.59 and 395.69

Step by Step Solution

1. Step 1: Write the proportion equation
   727.25 : 1,003.59 = 395.69 : x
2. Step 2: Convert to fraction form
   727.25/1,003.59 = 395.69/x
3. Step 3: Cross multiply
   727.25x = 1,003.59 × 395.69
4. Step 4: Simplify right side
   727.25x = 397,105.51
5. Step 5: Solve for x
   x = 397,105.51/727.25
6. Step 6: Final answer
   x = 546.03