Finding the Fourth Proportional to 1,456.28, 2,009.78 and 827.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.28 : 2,009.78 = 827.00 : x
2. Step 2: Convert to fraction form
   1,456.28/2,009.78 = 827.00/x
3. Step 3: Cross multiply
   1,456.28x = 2,009.78 × 827.00
4. Step 4: Simplify right side
   1,456.28x = 1,662,089.05
5. Step 5: Solve for x
   x = 1,662,089.05/1,456.28
6. Step 6: Final answer
   x = 1,141.33