Finding the Fourth Proportional to 2,002.14, 3,003.14 and 1,275.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.14 : 3,003.14 = 1,275.03 : x
2. Step 2: Convert to fraction form
   2,002.14/3,003.14 = 1,275.03/x
3. Step 3: Cross multiply
   2,002.14x = 3,003.14 × 1,275.03
4. Step 4: Simplify right side
   2,002.14x = 3,829,096.78
5. Step 5: Solve for x
   x = 3,829,096.78/2,002.14
6. Step 6: Final answer
   x = 1,912.50