Finding the Fourth Proportional to 1,152.24, 1,727.72 and 411.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.24 : 1,727.72 = 411.74 : x
2. Step 2: Convert to fraction form
   1,152.24/1,727.72 = 411.74/x
3. Step 3: Cross multiply
   1,152.24x = 1,727.72 × 411.74
4. Step 4: Simplify right side
   1,152.24x = 711,371.43
5. Step 5: Solve for x
   x = 711,371.43/1,152.24
6. Step 6: Final answer
   x = 617.38