Finding the Fourth Proportional to 2,002.18, 3,001.56 and 768.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.18 : 3,001.56 = 768.73 : x
2. Step 2: Convert to fraction form
   2,002.18/3,001.56 = 768.73/x
3. Step 3: Cross multiply
   2,002.18x = 3,001.56 × 768.73
4. Step 4: Simplify right side
   2,002.18x = 2,307,389.22
5. Step 5: Solve for x
   x = 2,307,389.22/2,002.18
6. Step 6: Final answer
   x = 1,152.44