Finding the Fourth Proportional to 6,538.60, 9,022.59 and 3,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.60 : 9,022.59 = 3,885.50 : x
2. Step 2: Convert to fraction form
   6,538.60/9,022.59 = 3,885.50/x
3. Step 3: Cross multiply
   6,538.60x = 9,022.59 × 3,885.50
4. Step 4: Simplify right side
   6,538.60x = 35,057,242.90
5. Step 5: Solve for x
   x = 35,057,242.90/6,538.60
6. Step 6: Final answer
   x = 5,361.58