Finding the Fourth Proportional to 2,001.56, 3,002.82 and 768.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.56 : 3,002.82 = 768.98 : x
2. Step 2: Convert to fraction form
   2,001.56/3,002.82 = 768.98/x
3. Step 3: Cross multiply
   2,001.56x = 3,002.82 × 768.98
4. Step 4: Simplify right side
   2,001.56x = 2,309,108.52
5. Step 5: Solve for x
   x = 2,309,108.52/2,001.56
6. Step 6: Final answer
   x = 1,153.65