Finding the Fourth Proportional to 1,915.50, 2,871.27 and 820.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,915.50 : 2,871.27 = 820.56 : x
2. Step 2: Convert to fraction form
   1,915.50/2,871.27 = 820.56/x
3. Step 3: Cross multiply
   1,915.50x = 2,871.27 × 820.56
4. Step 4: Simplify right side
   1,915.50x = 2,356,049.31
5. Step 5: Solve for x
   x = 2,356,049.31/1,915.50
6. Step 6: Final answer
   x = 1,229.99