Finding the Fourth Proportional to 2,000.74, 3,002.16 and 1,419.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000.74 : 3,002.16 = 1,419.49 : x
2. Step 2: Convert to fraction form
   2,000.74/3,002.16 = 1,419.49/x
3. Step 3: Cross multiply
   2,000.74x = 3,002.16 × 1,419.49
4. Step 4: Simplify right side
   2,000.74x = 4,261,543.60
5. Step 5: Solve for x
   x = 4,261,543.60/2,000.74
6. Step 6: Final answer
   x = 2,129.99