Finding the Fourth Proportional to 1,491.37, 2,057.93 and 828.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.37 : 2,057.93 = 828.10 : x
2. Step 2: Convert to fraction form
   1,491.37/2,057.93 = 828.10/x
3. Step 3: Cross multiply
   1,491.37x = 2,057.93 × 828.10
4. Step 4: Simplify right side
   1,491.37x = 1,704,161.79
5. Step 5: Solve for x
   x = 1,704,161.79/1,491.37
6. Step 6: Final answer
   x = 1,142.68