Finding the Fourth Proportional to 6,738.53, 9,295.56 and 4,085.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.53 : 9,295.56 = 4,085.37 : x
2. Step 2: Convert to fraction form
   6,738.53/9,295.56 = 4,085.37/x
3. Step 3: Cross multiply
   6,738.53x = 9,295.56 × 4,085.37
4. Step 4: Simplify right side
   6,738.53x = 37,975,801.96
5. Step 5: Solve for x
   x = 37,975,801.96/6,738.53
6. Step 6: Final answer
   x = 5,635.63