Finding the Fourth Proportional to 12,085.16, 16,665.64 and 9,431.60

Step by Step Solution

1. Step 1: Write the proportion equation
   12,085.16 : 16,665.64 = 9,431.60 : x
2. Step 2: Convert to fraction form
   12,085.16/16,665.64 = 9,431.60/x
3. Step 3: Cross multiply
   12,085.16x = 16,665.64 × 9,431.60
4. Step 4: Simplify right side
   12,085.16x = 157,183,650.22
5. Step 5: Solve for x
   x = 157,183,650.22/12,085.16
6. Step 6: Final answer
   x = 13,006.34