Finding the Fourth Proportional to 2,411.02, 3,616.46 and 767.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.02 : 3,616.46 = 767.66 : x
2. Step 2: Convert to fraction form
   2,411.02/3,616.46 = 767.66/x
3. Step 3: Cross multiply
   2,411.02x = 3,616.46 × 767.66
4. Step 4: Simplify right side
   2,411.02x = 2,776,216.89
5. Step 5: Solve for x
   x = 2,776,216.89/2,411.02
6. Step 6: Final answer
   x = 1,151.47