Finding the Fourth Proportional to 2,002.51, 3,003.34 and 769.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.51 : 3,003.34 = 769.49 : x
2. Step 2: Convert to fraction form
   2,002.51/3,003.34 = 769.49/x
3. Step 3: Cross multiply
   2,002.51x = 3,003.34 × 769.49
4. Step 4: Simplify right side
   2,002.51x = 2,311,040.10
5. Step 5: Solve for x
   x = 2,311,040.10/2,002.51
6. Step 6: Final answer
   x = 1,154.07