Finding the Fourth Proportional to 1,491.02, 2,057.86 and 828.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.02 : 2,057.86 = 828.09 : x
2. Step 2: Convert to fraction form
   1,491.02/2,057.86 = 828.09/x
3. Step 3: Cross multiply
   1,491.02x = 2,057.86 × 828.09
4. Step 4: Simplify right side
   1,491.02x = 1,704,093.29
5. Step 5: Solve for x
   x = 1,704,093.29/1,491.02
6. Step 6: Final answer
   x = 1,142.90