Finding the Fourth Proportional to 2,002.56, 3,003.51 and 769.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.56 : 3,003.51 = 769.34 : x
2. Step 2: Convert to fraction form
   2,002.56/3,003.51 = 769.34/x
3. Step 3: Cross multiply
   2,002.56x = 3,003.51 × 769.34
4. Step 4: Simplify right side
   2,002.56x = 2,310,715.84
5. Step 5: Solve for x
   x = 2,310,715.84/2,002.56
6. Step 6: Final answer
   x = 1,153.88