Finding the Fourth Proportional to 1,455.80, 2,008.83 and 826.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,455.80 : 2,008.83 = 826.10 : x
2. Step 2: Convert to fraction form
   1,455.80/2,008.83 = 826.10/x
3. Step 3: Cross multiply
   1,455.80x = 2,008.83 × 826.10
4. Step 4: Simplify right side
   1,455.80x = 1,659,494.46
5. Step 5: Solve for x
   x = 1,659,494.46/1,455.80
6. Step 6: Final answer
   x = 1,139.92