Finding the Fourth Proportional to 6,538.70, 9,022.72 and 3,885.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.70 : 9,022.72 = 3,885.74 : x
2. Step 2: Convert to fraction form
   6,538.70/9,022.72 = 3,885.74/x
3. Step 3: Cross multiply
   6,538.70x = 9,022.72 × 3,885.74
4. Step 4: Simplify right side
   6,538.70x = 35,059,944.01
5. Step 5: Solve for x
   x = 35,059,944.01/6,538.70
6. Step 6: Final answer
   x = 5,361.91