Finding the Fourth Proportional to 2,002.50, 3,003.60 and 769.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.50 : 3,003.60 = 769.80 : x
2. Step 2: Convert to fraction form
   2,002.50/3,003.60 = 769.80/x
3. Step 3: Cross multiply
   2,002.50x = 3,003.60 × 769.80
4. Step 4: Simplify right side
   2,002.50x = 2,312,171.28
5. Step 5: Solve for x
   x = 2,312,171.28/2,002.50
6. Step 6: Final answer
   x = 1,154.64