Finding the Fourth Proportional to 2,002.71, 2,998.80 and 1,414.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.71 : 2,998.80 = 1,414.53 : x
2. Step 2: Convert to fraction form
   2,002.71/2,998.80 = 1,414.53/x
3. Step 3: Cross multiply
   2,002.71x = 2,998.80 × 1,414.53
4. Step 4: Simplify right side
   2,002.71x = 4,241,892.56
5. Step 5: Solve for x
   x = 4,241,892.56/2,002.71
6. Step 6: Final answer
   x = 2,118.08