Finding the Fourth Proportional to 9,085.92, 13,629.42 and 3,538.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.92 : 13,629.42 = 3,538.23 : x
2. Step 2: Convert to fraction form
   9,085.92/13,629.42 = 3,538.23/x
3. Step 3: Cross multiply
   9,085.92x = 13,629.42 × 3,538.23
4. Step 4: Simplify right side
   9,085.92x = 48,224,022.73
5. Step 5: Solve for x
   x = 48,224,022.73/9,085.92
6. Step 6: Final answer
   x = 5,307.56