Finding the Fourth Proportional to 2,002.78, 3,003.63 and 770.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.78 : 3,003.63 = 770.23 : x
2. Step 2: Convert to fraction form
   2,002.78/3,003.63 = 770.23/x
3. Step 3: Cross multiply
   2,002.78x = 3,003.63 × 770.23
4. Step 4: Simplify right side
   2,002.78x = 2,313,485.93
5. Step 5: Solve for x
   x = 2,313,485.93/2,002.78
6. Step 6: Final answer
   x = 1,155.14