Finding the Fourth Proportional to 1,456.59, 2,010.13 and 827.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.59 : 2,010.13 = 827.02 : x
2. Step 2: Convert to fraction form
   1,456.59/2,010.13 = 827.02/x
3. Step 3: Cross multiply
   1,456.59x = 2,010.13 × 827.02
4. Step 4: Simplify right side
   1,456.59x = 1,662,422.81
5. Step 5: Solve for x
   x = 1,662,422.81/1,456.59
6. Step 6: Final answer
   x = 1,141.31