Finding the Fourth Proportional to 1,081.90, 1,493.58 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.90 : 1,493.58 = 827.83 : x
2. Step 2: Convert to fraction form
   1,081.90/1,493.58 = 827.83/x
3. Step 3: Cross multiply
   1,081.90x = 1,493.58 × 827.83
4. Step 4: Simplify right side
   1,081.90x = 1,236,430.33
5. Step 5: Solve for x
   x = 1,236,430.33/1,081.90
6. Step 6: Final answer
   x = 1,142.83