Finding the Fourth Proportional to 2,002.42, 3,003.90 and 1,027.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.42 : 3,003.90 = 1,027.90 : x
2. Step 2: Convert to fraction form
   2,002.42/3,003.90 = 1,027.90/x
3. Step 3: Cross multiply
   2,002.42x = 3,003.90 × 1,027.90
4. Step 4: Simplify right side
   2,002.42x = 3,087,708.81
5. Step 5: Solve for x
   x = 3,087,708.81/2,002.42
6. Step 6: Final answer
   x = 1,541.99