Finding the Fourth Proportional to 5,200, 7,797.57 and 1,734.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 7,797.57 = 1,734.82 : x
2. Step 2: Convert to fraction form
   5,200/7,797.57 = 1,734.82/x
3. Step 3: Cross multiply
   5,200x = 7,797.57 × 1,734.82
4. Step 4: Simplify right side
   5,200x = 13,527,380.39
5. Step 5: Solve for x
   x = 13,527,380.39/5,200
6. Step 6: Final answer
   x = 2,601.42