Finding the Fourth Proportional to 1,441.59, 1,989.42 and 820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441.59 : 1,989.42 = 820.59 : x
2. Step 2: Convert to fraction form
   1,441.59/1,989.42 = 820.59/x
3. Step 3: Cross multiply
   1,441.59x = 1,989.42 × 820.59
4. Step 4: Simplify right side
   1,441.59x = 1,632,498.16
5. Step 5: Solve for x
   x = 1,632,498.16/1,441.59
6. Step 6: Final answer
   x = 1,132.43