Finding the Fourth Proportional to 10,686.83, 14,744.82 and 6,149.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.83 : 14,744.82 = 6,149.27 : x
2. Step 2: Convert to fraction form
   10,686.83/14,744.82 = 6,149.27/x
3. Step 3: Cross multiply
   10,686.83x = 14,744.82 × 6,149.27
4. Step 4: Simplify right side
   10,686.83x = 90,669,916.14
5. Step 5: Solve for x
   x = 90,669,916.14/10,686.83
6. Step 6: Final answer
   x = 8,484.26