Finding the Fourth Proportional to 3,765.40, 5,196.88 and 2,194.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.40 : 5,196.88 = 2,194.42 : x
2. Step 2: Convert to fraction form
   3,765.40/5,196.88 = 2,194.42/x
3. Step 3: Cross multiply
   3,765.40x = 5,196.88 × 2,194.42
4. Step 4: Simplify right side
   3,765.40x = 11,404,137.41
5. Step 5: Solve for x
   x = 11,404,137.41/3,765.40
6. Step 6: Final answer
   x = 3,028.67