Finding the Fourth Proportional to 2,846, 4,268.50 and 766.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846 : 4,268.50 = 766.15 : x
2. Step 2: Convert to fraction form
   2,846/4,268.50 = 766.15/x
3. Step 3: Cross multiply
   2,846x = 4,268.50 × 766.15
4. Step 4: Simplify right side
   2,846x = 3,270,311.28
5. Step 5: Solve for x
   x = 3,270,311.28/2,846
6. Step 6: Final answer
   x = 1,149.09