Finding the Fourth Proportional to 2,002.05, 3,002.22 and 770.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.05 : 3,002.22 = 770.49 : x
2. Step 2: Convert to fraction form
   2,002.05/3,002.22 = 770.49/x
3. Step 3: Cross multiply
   2,002.05x = 3,002.22 × 770.49
4. Step 4: Simplify right side
   2,002.05x = 2,313,180.49
5. Step 5: Solve for x
   x = 2,313,180.49/2,002.05
6. Step 6: Final answer
   x = 1,155.41