Finding the Fourth Proportional to 9,158.36, 12,636.45 and 5,178.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,158.36 : 12,636.45 = 5,178.62 : x
2. Step 2: Convert to fraction form
   9,158.36/12,636.45 = 5,178.62/x
3. Step 3: Cross multiply
   9,158.36x = 12,636.45 × 5,178.62
4. Step 4: Simplify right side
   9,158.36x = 65,439,309.52
5. Step 5: Solve for x
   x = 65,439,309.52/9,158.36
6. Step 6: Final answer
   x = 7,145.31