Finding the Fourth Proportional to 3,849.12, 5,777.33 and 1,902.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.12 : 5,777.33 = 1,902.69 : x
2. Step 2: Convert to fraction form
   3,849.12/5,777.33 = 1,902.69/x
3. Step 3: Cross multiply
   3,849.12x = 5,777.33 × 1,902.69
4. Step 4: Simplify right side
   3,849.12x = 10,992,458.50
5. Step 5: Solve for x
   x = 10,992,458.50/3,849.12
6. Step 6: Final answer
   x = 2,855.84