Finding the Fourth Proportional to 2,957.72, 4,436.80 and 766.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,957.72 : 4,436.80 = 766.46 : x
2. Step 2: Convert to fraction form
   2,957.72/4,436.80 = 766.46/x
3. Step 3: Cross multiply
   2,957.72x = 4,436.80 × 766.46
4. Step 4: Simplify right side
   2,957.72x = 3,400,629.73
5. Step 5: Solve for x
   x = 3,400,629.73/2,957.72
6. Step 6: Final answer
   x = 1,149.75