Finding the Fourth Proportional to 5,629.80, 7,760.59 and 3,738.04

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.80 : 7,760.59 = 3,738.04 : x
2. Step 2: Convert to fraction form
   5,629.80/7,760.59 = 3,738.04/x
3. Step 3: Cross multiply
   5,629.80x = 7,760.59 × 3,738.04
4. Step 4: Simplify right side
   5,629.80x = 29,009,395.84
5. Step 5: Solve for x
   x = 29,009,395.84/5,629.80
6. Step 6: Final answer
   x = 5,152.83