Finding the Fourth Proportional to 3,849.57, 5,774.37 and 3,200.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.57 : 5,774.37 = 3,200.76 : x
2. Step 2: Convert to fraction form
   3,849.57/5,774.37 = 3,200.76/x
3. Step 3: Cross multiply
   3,849.57x = 5,774.37 × 3,200.76
4. Step 4: Simplify right side
   3,849.57x = 18,482,372.52
5. Step 5: Solve for x
   x = 18,482,372.52/3,849.57
6. Step 6: Final answer
   x = 4,801.15