Finding the Fourth Proportional to 10,665.38, 14,716.40 and 6,188.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.38 : 14,716.40 = 6,188.10 : x
2. Step 2: Convert to fraction form
   10,665.38/14,716.40 = 6,188.10/x
3. Step 3: Cross multiply
   10,665.38x = 14,716.40 × 6,188.10
4. Step 4: Simplify right side
   10,665.38x = 91,066,523.90
5. Step 5: Solve for x
   x = 91,066,523.90/10,665.38
6. Step 6: Final answer
   x = 8,538.52