Finding the Fourth Proportional to 2,411.78, 3,617.94 and 767.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.78 : 3,617.94 = 767.95 : x
2. Step 2: Convert to fraction form
   2,411.78/3,617.94 = 767.95/x
3. Step 3: Cross multiply
   2,411.78x = 3,617.94 × 767.95
4. Step 4: Simplify right side
   2,411.78x = 2,778,378.93
5. Step 5: Solve for x
   x = 2,778,378.93/2,411.78
6. Step 6: Final answer
   x = 1,152.00