Finding the Fourth Proportional to 2,629.34, 3,944.54 and 780.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.34 : 3,944.54 = 780.42 : x
2. Step 2: Convert to fraction form
   2,629.34/3,944.54 = 780.42/x
3. Step 3: Cross multiply
   2,629.34x = 3,944.54 × 780.42
4. Step 4: Simplify right side
   2,629.34x = 3,078,397.91
5. Step 5: Solve for x
   x = 3,078,397.91/2,629.34
6. Step 6: Final answer
   x = 1,170.79