Finding the Fourth Proportional to 1,456.99, 2,010.60 and 827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.99 : 2,010.60 = 827.50 : x
2. Step 2: Convert to fraction form
   1,456.99/2,010.60 = 827.50/x
3. Step 3: Cross multiply
   1,456.99x = 2,010.60 × 827.50
4. Step 4: Simplify right side
   1,456.99x = 1,663,771.50
5. Step 5: Solve for x
   x = 1,663,771.50/1,456.99
6. Step 6: Final answer
   x = 1,141.92