Finding the Fourth Proportional to 9,667.96, 14,496.34 and 5,159.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.96 : 14,496.34 = 5,159.45 : x
2. Step 2: Convert to fraction form
   9,667.96/14,496.34 = 5,159.45/x
3. Step 3: Cross multiply
   9,667.96x = 14,496.34 × 5,159.45
4. Step 4: Simplify right side
   9,667.96x = 74,793,141.41
5. Step 5: Solve for x
   x = 74,793,141.41/9,667.96
6. Step 6: Final answer
   x = 7,736.19