Finding the Fourth Proportional to 1,489.61, 2,055.42 and 826.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,489.61 : 2,055.42 = 826.35 : x
2. Step 2: Convert to fraction form
   1,489.61/2,055.42 = 826.35/x
3. Step 3: Cross multiply
   1,489.61x = 2,055.42 × 826.35
4. Step 4: Simplify right side
   1,489.61x = 1,698,496.32
5. Step 5: Solve for x
   x = 1,698,496.32/1,489.61
6. Step 6: Final answer
   x = 1,140.23