Finding the Fourth Proportional to 3,869.60, 5,766.32 and 3,635.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,869.60 : 5,766.32 = 3,635.84 : x
2. Step 2: Convert to fraction form
   3,869.60/5,766.32 = 3,635.84/x
3. Step 3: Cross multiply
   3,869.60x = 5,766.32 × 3,635.84
4. Step 4: Simplify right side
   3,869.60x = 20,965,369.90
5. Step 5: Solve for x
   x = 20,965,369.90/3,869.60
6. Step 6: Final answer
   x = 5,417.98