Finding the Fourth Proportional to 2,003.44, 3,005.76 and 1,419.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.44 : 3,005.76 = 1,419.57 : x
2. Step 2: Convert to fraction form
   2,003.44/3,005.76 = 1,419.57/x
3. Step 3: Cross multiply
   2,003.44x = 3,005.76 × 1,419.57
4. Step 4: Simplify right side
   2,003.44x = 4,266,871.69
5. Step 5: Solve for x
   x = 4,266,871.69/2,003.44
6. Step 6: Final answer
   x = 2,129.78