Finding the Fourth Proportional to 10,667.49, 14,716.37 and 6,188.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.49 : 14,716.37 = 6,188.64 : x
2. Step 2: Convert to fraction form
   10,667.49/14,716.37 = 6,188.64/x
3. Step 3: Cross multiply
   10,667.49x = 14,716.37 × 6,188.64
4. Step 4: Simplify right side
   10,667.49x = 91,074,285.09
5. Step 5: Solve for x
   x = 91,074,285.09/10,667.49
6. Step 6: Final answer
   x = 8,537.56