Finding the Fourth Proportional to 1,456.42, 2,010.06 and 826.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.42 : 2,010.06 = 826.81 : x
2. Step 2: Convert to fraction form
   1,456.42/2,010.06 = 826.81/x
3. Step 3: Cross multiply
   1,456.42x = 2,010.06 × 826.81
4. Step 4: Simplify right side
   1,456.42x = 1,661,937.71
5. Step 5: Solve for x
   x = 1,661,937.71/1,456.42
6. Step 6: Final answer
   x = 1,141.12