Finding the Fourth Proportional to 1,519.50, 2,096.92 and 820.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.50 : 2,096.92 = 820.88 : x
2. Step 2: Convert to fraction form
   1,519.50/2,096.92 = 820.88/x
3. Step 3: Cross multiply
   1,519.50x = 2,096.92 × 820.88
4. Step 4: Simplify right side
   1,519.50x = 1,721,305.10
5. Step 5: Solve for x
   x = 1,721,305.10/1,519.50
6. Step 6: Final answer
   x = 1,132.81