Finding the Fourth Proportional to 2,411.82, 3,617.50 and 768.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.82 : 3,617.50 = 768.08 : x
2. Step 2: Convert to fraction form
   2,411.82/3,617.50 = 768.08/x
3. Step 3: Cross multiply
   2,411.82x = 3,617.50 × 768.08
4. Step 4: Simplify right side
   2,411.82x = 2,778,509.39
5. Step 5: Solve for x
   x = 2,778,509.39/2,411.82
6. Step 6: Final answer
   x = 1,152.04