Finding the Fourth Proportional to 2,771.82, 4,137.89 and 2,569.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,771.82 : 4,137.89 = 2,569.32 : x
2. Step 2: Convert to fraction form
   2,771.82/4,137.89 = 2,569.32/x
3. Step 3: Cross multiply
   2,771.82x = 4,137.89 × 2,569.32
4. Step 4: Simplify right side
   2,771.82x = 10,631,550.69
5. Step 5: Solve for x
   x = 10,631,550.69/2,771.82
6. Step 6: Final answer
   x = 3,835.58