Finding the Fourth Proportional to 2,081.60, 2,872.36 and 1,419.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.60 : 2,872.36 = 1,419.28 : x
2. Step 2: Convert to fraction form
   2,081.60/2,872.36 = 1,419.28/x
3. Step 3: Cross multiply
   2,081.60x = 2,872.36 × 1,419.28
4. Step 4: Simplify right side
   2,081.60x = 4,076,683.10
5. Step 5: Solve for x
   x = 4,076,683.10/2,081.60
6. Step 6: Final answer
   x = 1,958.44