Finding the Fourth Proportional to 2,003.20, 2,761.56 and 1,411.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.20 : 2,761.56 = 1,411.90 : x
2. Step 2: Convert to fraction form
   2,003.20/2,761.56 = 1,411.90/x
3. Step 3: Cross multiply
   2,003.20x = 2,761.56 × 1,411.90
4. Step 4: Simplify right side
   2,003.20x = 3,899,046.56
5. Step 5: Solve for x
   x = 3,899,046.56/2,003.20
6. Step 6: Final answer
   x = 1,946.41