Finding the Fourth Proportional to 8,095.70, 12,142.13 and 3,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,095.70 : 12,142.13 = 3,165.50 : x
2. Step 2: Convert to fraction form
   8,095.70/12,142.13 = 3,165.50/x
3. Step 3: Cross multiply
   8,095.70x = 12,142.13 × 3,165.50
4. Step 4: Simplify right side
   8,095.70x = 38,435,835.98
5. Step 5: Solve for x
   x = 38,435,835.98/8,095.70
6. Step 6: Final answer
   x = 4,747.69