Finding the Fourth Proportional to 9,085.78, 12,537.25 and 5,258.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.78 : 12,537.25 = 5,258.08 : x
2. Step 2: Convert to fraction form
   9,085.78/12,537.25 = 5,258.08/x
3. Step 3: Cross multiply
   9,085.78x = 12,537.25 × 5,258.08
4. Step 4: Simplify right side
   9,085.78x = 65,921,863.48
5. Step 5: Solve for x
   x = 65,921,863.48/9,085.78
6. Step 6: Final answer
   x = 7,255.50