Finding the Fourth Proportional to 10,665.68, 14,714.78 and 6,186.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.68 : 14,714.78 = 6,186.96 : x
2. Step 2: Convert to fraction form
   10,665.68/14,714.78 = 6,186.96/x
3. Step 3: Cross multiply
   10,665.68x = 14,714.78 × 6,186.96
4. Step 4: Simplify right side
   10,665.68x = 91,039,724.33
5. Step 5: Solve for x
   x = 91,039,724.33/10,665.68
6. Step 6: Final answer
   x = 8,535.77