Finding the Fourth Proportional to 8,097.34, 12,137.10 and 3,166.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,097.34 : 12,137.10 = 3,166.06 : x
2. Step 2: Convert to fraction form
   8,097.34/12,137.10 = 3,166.06/x
3. Step 3: Cross multiply
   8,097.34x = 12,137.10 × 3,166.06
4. Step 4: Simplify right side
   8,097.34x = 38,426,786.83
5. Step 5: Solve for x
   x = 38,426,786.83/8,097.34
6. Step 6: Final answer
   x = 4,745.61