Finding the Fourth Proportional to 9,667.46, 14,495.60 and 5,158.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.46 : 14,495.60 = 5,158.95 : x
2. Step 2: Convert to fraction form
   9,667.46/14,495.60 = 5,158.95/x
3. Step 3: Cross multiply
   9,667.46x = 14,495.60 × 5,158.95
4. Step 4: Simplify right side
   9,667.46x = 74,782,049.83
5. Step 5: Solve for x
   x = 74,782,049.83/9,667.46
6. Step 6: Final answer
   x = 7,735.44