Finding the Fourth Proportional to 1,456.68, 2,010.15 and 827.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.68 : 2,010.15 = 827.22 : x
2. Step 2: Convert to fraction form
   1,456.68/2,010.15 = 827.22/x
3. Step 3: Cross multiply
   1,456.68x = 2,010.15 × 827.22
4. Step 4: Simplify right side
   1,456.68x = 1,662,836.28
5. Step 5: Solve for x
   x = 1,662,836.28/1,456.68
6. Step 6: Final answer
   x = 1,141.52