Finding the Fourth Proportional to 1,456.60, 2,010.04 and 827.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.60 : 2,010.04 = 827.20 : x
2. Step 2: Convert to fraction form
   1,456.60/2,010.04 = 827.20/x
3. Step 3: Cross multiply
   1,456.60x = 2,010.04 × 827.20
4. Step 4: Simplify right side
   1,456.60x = 1,662,705.09
5. Step 5: Solve for x
   x = 1,662,705.09/1,456.60
6. Step 6: Final answer
   x = 1,141.50