Finding the Fourth Proportional to 3,940.82, 5,438.84 and 2,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,940.82 : 5,438.84 = 2,262.50 : x
2. Step 2: Convert to fraction form
   3,940.82/5,438.84 = 2,262.50/x
3. Step 3: Cross multiply
   3,940.82x = 5,438.84 × 2,262.50
4. Step 4: Simplify right side
   3,940.82x = 12,305,375.50
5. Step 5: Solve for x
   x = 12,305,375.50/3,940.82
6. Step 6: Final answer
   x = 3,122.54