Finding the Fourth Proportional to 2,629.52, 3,942.84 and 780.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.52 : 3,942.84 = 780.08 : x
2. Step 2: Convert to fraction form
   2,629.52/3,942.84 = 780.08/x
3. Step 3: Cross multiply
   2,629.52x = 3,942.84 × 780.08
4. Step 4: Simplify right side
   2,629.52x = 3,075,730.63
5. Step 5: Solve for x
   x = 3,075,730.63/2,629.52
6. Step 6: Final answer
   x = 1,169.69