Finding the Fourth Proportional to 2,786.94, 3,846.49 and 1,902.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.94 : 3,846.49 = 1,902.42 : x
2. Step 2: Convert to fraction form
   2,786.94/3,846.49 = 1,902.42/x
3. Step 3: Cross multiply
   2,786.94x = 3,846.49 × 1,902.42
4. Step 4: Simplify right side
   2,786.94x = 7,317,634.75
5. Step 5: Solve for x
   x = 7,317,634.75/2,786.94
6. Step 6: Final answer
   x = 2,625.69