Finding the Fourth Proportional to 2,005.83, 2,766.78 and 1,445.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.83 : 2,766.78 = 1,445.27 : x
2. Step 2: Convert to fraction form
   2,005.83/2,766.78 = 1,445.27/x
3. Step 3: Cross multiply
   2,005.83x = 2,766.78 × 1,445.27
4. Step 4: Simplify right side
   2,005.83x = 3,998,730.30
5. Step 5: Solve for x
   x = 3,998,730.30/2,005.83
6. Step 6: Final answer
   x = 1,993.55