Finding the Fourth Proportional to 1,441.50, 1,989.27 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441.50 : 1,989.27 = 820.50 : x
2. Step 2: Convert to fraction form
   1,441.50/1,989.27 = 820.50/x
3. Step 3: Cross multiply
   1,441.50x = 1,989.27 × 820.50
4. Step 4: Simplify right side
   1,441.50x = 1,632,196.04
5. Step 5: Solve for x
   x = 1,632,196.04/1,441.50
6. Step 6: Final answer
   x = 1,132.29