Finding the Fourth Proportional to 8,105.75, 12,164.09 and 3,174.77

Step by Step Solution

1. Step 1: Write the proportion equation
   8,105.75 : 12,164.09 = 3,174.77 : x
2. Step 2: Convert to fraction form
   8,105.75/12,164.09 = 3,174.77/x
3. Step 3: Cross multiply
   8,105.75x = 12,164.09 × 3,174.77
4. Step 4: Simplify right side
   8,105.75x = 38,618,111.32
5. Step 5: Solve for x
   x = 38,618,111.32/8,105.75
6. Step 6: Final answer
   x = 4,764.29