Finding the Fourth Proportional to 2,629.50, 3,944.66 and 780.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.50 : 3,944.66 = 780.43 : x
2. Step 2: Convert to fraction form
   2,629.50/3,944.66 = 780.43/x
3. Step 3: Cross multiply
   2,629.50x = 3,944.66 × 780.43
4. Step 4: Simplify right side
   2,629.50x = 3,078,523.09
5. Step 5: Solve for x
   x = 3,078,523.09/2,629.50
6. Step 6: Final answer
   x = 1,170.76