Finding the Fourth Proportional to 2,002.28, 3,002.56 and 770.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.28 : 3,002.56 = 770.04 : x
2. Step 2: Convert to fraction form
   2,002.28/3,002.56 = 770.04/x
3. Step 3: Cross multiply
   2,002.28x = 3,002.56 × 770.04
4. Step 4: Simplify right side
   2,002.28x = 2,312,091.30
5. Step 5: Solve for x
   x = 2,312,091.30/2,002.28
6. Step 6: Final answer
   x = 1,154.73