Finding the Fourth Proportional to 1,456.80, 2,010.58 and 827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.80 : 2,010.58 = 827.42 : x
2. Step 2: Convert to fraction form
   1,456.80/2,010.58 = 827.42/x
3. Step 3: Cross multiply
   1,456.80x = 2,010.58 × 827.42
4. Step 4: Simplify right side
   1,456.80x = 1,663,594.10
5. Step 5: Solve for x
   x = 1,663,594.10/1,456.80
6. Step 6: Final answer
   x = 1,141.95