Finding the Fourth Proportional to 1,491.32, 2,057.78 and 828.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.32 : 2,057.78 = 828.16 : x
2. Step 2: Convert to fraction form
   1,491.32/2,057.78 = 828.16/x
3. Step 3: Cross multiply
   1,491.32x = 2,057.78 × 828.16
4. Step 4: Simplify right side
   1,491.32x = 1,704,168.01
5. Step 5: Solve for x
   x = 1,704,168.01/1,491.32
6. Step 6: Final answer
   x = 1,142.72