Finding the Fourth Proportional to 1,489.83, 2,055.91 and 826.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.83 : 2,055.91 = 826.69 : x
2. Step 2: Convert to fraction form
   1,489.83/2,055.91 = 826.69/x
3. Step 3: Cross multiply
   1,489.83x = 2,055.91 × 826.69
4. Step 4: Simplify right side
   1,489.83x = 1,699,600.24
5. Step 5: Solve for x
   x = 1,699,600.24/1,489.83
6. Step 6: Final answer
   x = 1,140.80