Finding the Fourth Proportional to 2,002.01, 3,003.70 and 1,014.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.01 : 3,003.70 = 1,014.33 : x
2. Step 2: Convert to fraction form
   2,002.01/3,003.70 = 1,014.33/x
3. Step 3: Cross multiply
   2,002.01x = 3,003.70 × 1,014.33
4. Step 4: Simplify right side
   2,002.01x = 3,046,753.65
5. Step 5: Solve for x
   x = 3,046,753.65/2,002.01
6. Step 6: Final answer
   x = 1,521.85