Finding the Fourth Proportional to 2,003.02, 3,003.78 and 769.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.02 : 3,003.78 = 769.78 : x
2. Step 2: Convert to fraction form
   2,003.02/3,003.78 = 769.78/x
3. Step 3: Cross multiply
   2,003.02x = 3,003.78 × 769.78
4. Step 4: Simplify right side
   2,003.02x = 2,312,249.77
5. Step 5: Solve for x
   x = 2,312,249.77/2,003.02
6. Step 6: Final answer
   x = 1,154.38