Finding the Fourth Proportional to 1,489.78, 2,055.92 and 826.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.78 : 2,055.92 = 826.69 : x
2. Step 2: Convert to fraction form
   1,489.78/2,055.92 = 826.69/x
3. Step 3: Cross multiply
   1,489.78x = 2,055.92 × 826.69
4. Step 4: Simplify right side
   1,489.78x = 1,699,608.50
5. Step 5: Solve for x
   x = 1,699,608.50/1,489.78
6. Step 6: Final answer
   x = 1,140.85