Finding the Fourth Proportional to 2,005.30, 2,766.72 and 1,219.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.30 : 2,766.72 = 1,219.60 : x
2. Step 2: Convert to fraction form
   2,005.30/2,766.72 = 1,219.60/x
3. Step 3: Cross multiply
   2,005.30x = 2,766.72 × 1,219.60
4. Step 4: Simplify right side
   2,005.30x = 3,374,291.71
5. Step 5: Solve for x
   x = 3,374,291.71/2,005.30
6. Step 6: Final answer
   x = 1,682.69