Finding the Fourth Proportional to 2,005.52, 2,768.46 and 1,219.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.52 : 2,768.46 = 1,219.84 : x
2. Step 2: Convert to fraction form
   2,005.52/2,768.46 = 1,219.84/x
3. Step 3: Cross multiply
   2,005.52x = 2,768.46 × 1,219.84
4. Step 4: Simplify right side
   2,005.52x = 3,377,078.25
5. Step 5: Solve for x
   x = 3,377,078.25/2,005.52
6. Step 6: Final answer
   x = 1,683.89