Finding the Fourth Proportional to 1,152.42, 1,728.78 and 411.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.42 : 1,728.78 = 411.96 : x
2. Step 2: Convert to fraction form
   1,152.42/1,728.78 = 411.96/x
3. Step 3: Cross multiply
   1,152.42x = 1,728.78 × 411.96
4. Step 4: Simplify right side
   1,152.42x = 712,188.21
5. Step 5: Solve for x
   x = 712,188.21/1,152.42
6. Step 6: Final answer
   x = 617.99