Finding the Fourth Proportional to 10,665.28, 14,713.50 and 6,185.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.28 : 14,713.50 = 6,185.80 : x
2. Step 2: Convert to fraction form
   10,665.28/14,713.50 = 6,185.80/x
3. Step 3: Cross multiply
   10,665.28x = 14,713.50 × 6,185.80
4. Step 4: Simplify right side
   10,665.28x = 91,014,768.30
5. Step 5: Solve for x
   x = 91,014,768.30/10,665.28
6. Step 6: Final answer
   x = 8,533.74