Finding the Fourth Proportional to 1,491.16, 2,057.72 and 828.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.16 : 2,057.72 = 828.02 : x
2. Step 2: Convert to fraction form
   1,491.16/2,057.72 = 828.02/x
3. Step 3: Cross multiply
   1,491.16x = 2,057.72 × 828.02
4. Step 4: Simplify right side
   1,491.16x = 1,703,833.31
5. Step 5: Solve for x
   x = 1,703,833.31/1,491.16
6. Step 6: Final answer
   x = 1,142.62