Finding the Fourth Proportional to 2,005.52, 2,767.58 and 1,219.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.52 : 2,767.58 = 1,219.82 : x
2. Step 2: Convert to fraction form
   2,005.52/2,767.58 = 1,219.82/x
3. Step 3: Cross multiply
   2,005.52x = 2,767.58 × 1,219.82
4. Step 4: Simplify right side
   2,005.52x = 3,375,949.44
5. Step 5: Solve for x
   x = 3,375,949.44/2,005.52
6. Step 6: Final answer
   x = 1,683.33