Finding the Fourth Proportional to 3,869.09, 5,765.56 and 3,635.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,869.09 : 5,765.56 = 3,635.34 : x
2. Step 2: Convert to fraction form
   3,869.09/5,765.56 = 3,635.34/x
3. Step 3: Cross multiply
   3,869.09x = 5,765.56 × 3,635.34
4. Step 4: Simplify right side
   3,869.09x = 20,959,770.89
5. Step 5: Solve for x
   x = 20,959,770.89/3,869.09
6. Step 6: Final answer
   x = 5,417.24