Finding the Fourth Proportional to 3,766.76, 5,637.18 and 3,680.36

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.76 : 5,637.18 = 3,680.36 : x
2. Step 2: Convert to fraction form
   3,766.76/5,637.18 = 3,680.36/x
3. Step 3: Cross multiply
   3,766.76x = 5,637.18 × 3,680.36
4. Step 4: Simplify right side
   3,766.76x = 20,746,851.78
5. Step 5: Solve for x
   x = 20,746,851.78/3,766.76
6. Step 6: Final answer
   x = 5,507.88