Finding the Fourth Proportional to 9,667.45, 14,475.25 and 5,766.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.45 : 14,475.25 = 5,766.49 : x
2. Step 2: Convert to fraction form
   9,667.45/14,475.25 = 5,766.49/x
3. Step 3: Cross multiply
   9,667.45x = 14,475.25 × 5,766.49
4. Step 4: Simplify right side
   9,667.45x = 83,471,384.37
5. Step 5: Solve for x
   x = 83,471,384.37/9,667.45
6. Step 6: Final answer
   x = 8,634.27