Finding the Fourth Proportional to 1,489.58, 2,055.57 and 826.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.58 : 2,055.57 = 826.46 : x
2. Step 2: Convert to fraction form
   1,489.58/2,055.57 = 826.46/x
3. Step 3: Cross multiply
   1,489.58x = 2,055.57 × 826.46
4. Step 4: Simplify right side
   1,489.58x = 1,698,846.38
5. Step 5: Solve for x
   x = 1,698,846.38/1,489.58
6. Step 6: Final answer
   x = 1,140.49