Finding the Fourth Proportional to 1,491.27, 2,057.83 and 828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.27 : 2,057.83 = 828.15 : x
2. Step 2: Convert to fraction form
   1,491.27/2,057.83 = 828.15/x
3. Step 3: Cross multiply
   1,491.27x = 2,057.83 × 828.15
4. Step 4: Simplify right side
   1,491.27x = 1,704,191.91
5. Step 5: Solve for x
   x = 1,704,191.91/1,491.27
6. Step 6: Final answer
   x = 1,142.78