Finding the Fourth Proportional to 2,002.16, 3,002.64 and 768.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.16 : 3,002.64 = 768.89 : x
2. Step 2: Convert to fraction form
   2,002.16/3,002.64 = 768.89/x
3. Step 3: Cross multiply
   2,002.16x = 3,002.64 × 768.89
4. Step 4: Simplify right side
   2,002.16x = 2,308,684.86
5. Step 5: Solve for x
   x = 2,308,684.86/2,002.16
6. Step 6: Final answer
   x = 1,153.10