Finding the Fourth Proportional to 2,411.83, 3,617.68 and 768.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.83 : 3,617.68 = 768.48 : x
2. Step 2: Convert to fraction form
   2,411.83/3,617.68 = 768.48/x
3. Step 3: Cross multiply
   2,411.83x = 3,617.68 × 768.48
4. Step 4: Simplify right side
   2,411.83x = 2,780,114.73
5. Step 5: Solve for x
   x = 2,780,114.73/2,411.83
6. Step 6: Final answer
   x = 1,152.70