Finding the Fourth Proportional to 2,002.82, 3,005.10 and 770.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.82 : 3,005.10 = 770.40 : x
2. Step 2: Convert to fraction form
   2,002.82/3,005.10 = 770.40/x
3. Step 3: Cross multiply
   2,002.82x = 3,005.10 × 770.40
4. Step 4: Simplify right side
   2,002.82x = 2,315,129.04
5. Step 5: Solve for x
   x = 2,315,129.04/2,002.82
6. Step 6: Final answer
   x = 1,155.94