Finding the Fourth Proportional to 1,489.24, 2,055.12 and 826.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.24 : 2,055.12 = 826.09 : x
2. Step 2: Convert to fraction form
   1,489.24/2,055.12 = 826.09/x
3. Step 3: Cross multiply
   1,489.24x = 2,055.12 × 826.09
4. Step 4: Simplify right side
   1,489.24x = 1,697,714.08
5. Step 5: Solve for x
   x = 1,697,714.08/1,489.24
6. Step 6: Final answer
   x = 1,139.99