Finding the Fourth Proportional to 5,200.18, 7,797.53 and 2,567.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.18 : 7,797.53 = 2,567.57 : x
2. Step 2: Convert to fraction form
   5,200.18/7,797.53 = 2,567.57/x
3. Step 3: Cross multiply
   5,200.18x = 7,797.53 × 2,567.57
4. Step 4: Simplify right side
   5,200.18x = 20,020,671.53
5. Step 5: Solve for x
   x = 20,020,671.53/5,200.18
6. Step 6: Final answer
   x = 3,850.00