Finding the Fourth Proportional to 1,153.50, 1,728.72 and 828.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,728.72 = 828.18 : x
2. Step 2: Convert to fraction form
   1,153.50/1,728.72 = 828.18/x
3. Step 3: Cross multiply
   1,153.50x = 1,728.72 × 828.18
4. Step 4: Simplify right side
   1,153.50x = 1,431,691.33
5. Step 5: Solve for x
   x = 1,431,691.33/1,153.50
6. Step 6: Final answer
   x = 1,241.17