Finding the Fourth Proportional to 2,005.50, 2,767.59 and 1,219.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.50 : 2,767.59 = 1,219.40 : x
2. Step 2: Convert to fraction form
   2,005.50/2,767.59 = 1,219.40/x
3. Step 3: Cross multiply
   2,005.50x = 2,767.59 × 1,219.40
4. Step 4: Simplify right side
   2,005.50x = 3,374,785.41
5. Step 5: Solve for x
   x = 3,374,785.41/2,005.50
6. Step 6: Final answer
   x = 1,682.77