Finding the Fourth Proportional to 9,174.94, 12,662.12 and 5,196.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174.94 : 12,662.12 = 5,196.65 : x
2. Step 2: Convert to fraction form
   9,174.94/12,662.12 = 5,196.65/x
3. Step 3: Cross multiply
   9,174.94x = 12,662.12 × 5,196.65
4. Step 4: Simplify right side
   9,174.94x = 65,800,605.90
5. Step 5: Solve for x
   x = 65,800,605.90/9,174.94
6. Step 6: Final answer
   x = 7,171.78