Finding the Fourth Proportional to 2,629.82, 3,944.67 and 782.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.82 : 3,944.67 = 782.17 : x
2. Step 2: Convert to fraction form
   2,629.82/3,944.67 = 782.17/x
3. Step 3: Cross multiply
   2,629.82x = 3,944.67 × 782.17
4. Step 4: Simplify right side
   2,629.82x = 3,085,411.93
5. Step 5: Solve for x
   x = 3,085,411.93/2,629.82
6. Step 6: Final answer
   x = 1,173.24