Finding the Fourth Proportional to 1,519.31, 2,096.65 and 820.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.31 : 2,096.65 = 820.69 : x
2. Step 2: Convert to fraction form
   1,519.31/2,096.65 = 820.69/x
3. Step 3: Cross multiply
   1,519.31x = 2,096.65 × 820.69
4. Step 4: Simplify right side
   1,519.31x = 1,720,695.47
5. Step 5: Solve for x
   x = 1,720,695.47/1,519.31
6. Step 6: Final answer
   x = 1,132.55