Finding the Fourth Proportional to 1,089.27, 1,501.61 and 826.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.27 : 1,501.61 = 826.83 : x
2. Step 2: Convert to fraction form
   1,089.27/1,501.61 = 826.83/x
3. Step 3: Cross multiply
   1,089.27x = 1,501.61 × 826.83
4. Step 4: Simplify right side
   1,089.27x = 1,241,572.06
5. Step 5: Solve for x
   x = 1,241,572.06/1,089.27
6. Step 6: Final answer
   x = 1,139.82