Finding the Fourth Proportional to 1,153.46, 1,728.82 and 665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.46 : 1,728.82 = 665.50 : x
2. Step 2: Convert to fraction form
   1,153.46/1,728.82 = 665.50/x
3. Step 3: Cross multiply
   1,153.46x = 1,728.82 × 665.50
4. Step 4: Simplify right side
   1,153.46x = 1,150,529.71
5. Step 5: Solve for x
   x = 1,150,529.71/1,153.46
6. Step 6: Final answer
   x = 997.46