Finding the Fourth Proportional to 1,456.46, 2,009.86 and 827.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.46 : 2,009.86 = 827.02 : x
2. Step 2: Convert to fraction form
   1,456.46/2,009.86 = 827.02/x
3. Step 3: Cross multiply
   1,456.46x = 2,009.86 × 827.02
4. Step 4: Simplify right side
   1,456.46x = 1,662,194.42
5. Step 5: Solve for x
   x = 1,662,194.42/1,456.46
6. Step 6: Final answer
   x = 1,141.26