Finding the Fourth Proportional to 1,489.59, 2,055.78 and 826.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.59 : 2,055.78 = 826.61 : x
2. Step 2: Convert to fraction form
   1,489.59/2,055.78 = 826.61/x
3. Step 3: Cross multiply
   1,489.59x = 2,055.78 × 826.61
4. Step 4: Simplify right side
   1,489.59x = 1,699,318.03
5. Step 5: Solve for x
   x = 1,699,318.03/1,489.59
6. Step 6: Final answer
   x = 1,140.80