Finding the Fourth Proportional to 2,640.83, 3,961.50 and 766.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,640.83 : 3,961.50 = 766.77 : x
2. Step 2: Convert to fraction form
   2,640.83/3,961.50 = 766.77/x
3. Step 3: Cross multiply
   2,640.83x = 3,961.50 × 766.77
4. Step 4: Simplify right side
   2,640.83x = 3,037,559.36
5. Step 5: Solve for x
   x = 3,037,559.36/2,640.83
6. Step 6: Final answer
   x = 1,150.23