Finding the Fourth Proportional to 1,489.57, 2,055.61 and 826.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.57 : 2,055.61 = 826.48 : x
2. Step 2: Convert to fraction form
   1,489.57/2,055.61 = 826.48/x
3. Step 3: Cross multiply
   1,489.57x = 2,055.61 × 826.48
4. Step 4: Simplify right side
   1,489.57x = 1,698,920.55
5. Step 5: Solve for x
   x = 1,698,920.55/1,489.57
6. Step 6: Final answer
   x = 1,140.54