Finding the Fourth Proportional to 1,455.81, 2,008.83 and 826.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,455.81 : 2,008.83 = 826.23 : x
2. Step 2: Convert to fraction form
   1,455.81/2,008.83 = 826.23/x
3. Step 3: Cross multiply
   1,455.81x = 2,008.83 × 826.23
4. Step 4: Simplify right side
   1,455.81x = 1,659,755.61
5. Step 5: Solve for x
   x = 1,659,755.61/1,455.81
6. Step 6: Final answer
   x = 1,140.09