Finding the Fourth Proportional to 2,005.60, 2,766.72 and 1,342.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.60 : 2,766.72 = 1,342.48 : x
2. Step 2: Convert to fraction form
   2,005.60/2,766.72 = 1,342.48/x
3. Step 3: Cross multiply
   2,005.60x = 2,766.72 × 1,342.48
4. Step 4: Simplify right side
   2,005.60x = 3,714,266.27
5. Step 5: Solve for x
   x = 3,714,266.27/2,005.60
6. Step 6: Final answer
   x = 1,851.95