Finding the Fourth Proportional to 3,849.32, 5,777.63 and 1,902.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.32 : 5,777.63 = 1,902.89 : x
2. Step 2: Convert to fraction form
   3,849.32/5,777.63 = 1,902.89/x
3. Step 3: Cross multiply
   3,849.32x = 5,777.63 × 1,902.89
4. Step 4: Simplify right side
   3,849.32x = 10,994,155.95
5. Step 5: Solve for x
   x = 10,994,155.95/3,849.32
6. Step 6: Final answer
   x = 2,856.13