Finding the Fourth Proportional to 12,755.10, 17,601.94 and 7,166.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,755.10 : 17,601.94 = 7,166.10 : x
2. Step 2: Convert to fraction form
   12,755.10/17,601.94 = 7,166.10/x
3. Step 3: Cross multiply
   12,755.10x = 17,601.94 × 7,166.10
4. Step 4: Simplify right side
   12,755.10x = 126,137,262.23
5. Step 5: Solve for x
   x = 126,137,262.23/12,755.10
6. Step 6: Final answer
   x = 9,889.16