Finding the Fourth Proportional to 3,766.76, 5,198.00 and 2,194.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.76 : 5,198.00 = 2,194.82 : x
2. Step 2: Convert to fraction form
   3,766.76/5,198.00 = 2,194.82/x
3. Step 3: Cross multiply
   3,766.76x = 5,198.00 × 2,194.82
4. Step 4: Simplify right side
   3,766.76x = 11,408,637.40
5. Step 5: Solve for x
   x = 11,408,637.40/3,766.76
6. Step 6: Final answer
   x = 3,028.77