Finding the Fourth Proportional to 1,456.17, 2,009.38 and 826.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.17 : 2,009.38 = 826.53 : x
2. Step 2: Convert to fraction form
   1,456.17/2,009.38 = 826.53/x
3. Step 3: Cross multiply
   1,456.17x = 2,009.38 × 826.53
4. Step 4: Simplify right side
   1,456.17x = 1,660,812.85
5. Step 5: Solve for x
   x = 1,660,812.85/1,456.17
6. Step 6: Final answer
   x = 1,140.54