Finding the Fourth Proportional to 9,164.75, 12,647.25 and 5,185.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.75 : 12,647.25 = 5,185.85 : x
2. Step 2: Convert to fraction form
   9,164.75/12,647.25 = 5,185.85/x
3. Step 3: Cross multiply
   9,164.75x = 12,647.25 × 5,185.85
4. Step 4: Simplify right side
   9,164.75x = 65,586,678.18
5. Step 5: Solve for x
   x = 65,586,678.18/9,164.75
6. Step 6: Final answer
   x = 7,156.41