Finding the Fourth Proportional to 2,002.60, 3,002.43 and 768.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.60 : 3,002.43 = 768.97 : x
2. Step 2: Convert to fraction form
   2,002.60/3,002.43 = 768.97/x
3. Step 3: Cross multiply
   2,002.60x = 3,002.43 × 768.97
4. Step 4: Simplify right side
   2,002.60x = 2,308,778.60
5. Step 5: Solve for x
   x = 2,308,778.60/2,002.60
6. Step 6: Final answer
   x = 1,152.89