Finding the Fourth Proportional to 1,457.78, 2,011.28 and 828.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.78 : 2,011.28 = 828.27 : x
2. Step 2: Convert to fraction form
   1,457.78/2,011.28 = 828.27/x
3. Step 3: Cross multiply
   1,457.78x = 2,011.28 × 828.27
4. Step 4: Simplify right side
   1,457.78x = 1,665,878.74
5. Step 5: Solve for x
   x = 1,665,878.74/1,457.78
6. Step 6: Final answer
   x = 1,142.75