Finding the Fourth Proportional to 9,164.45, 12,647.94 and 5,185.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.45 : 12,647.94 = 5,185.52 : x
2. Step 2: Convert to fraction form
   9,164.45/12,647.94 = 5,185.52/x
3. Step 3: Cross multiply
   9,164.45x = 12,647.94 × 5,185.52
4. Step 4: Simplify right side
   9,164.45x = 65,586,082.59
5. Step 5: Solve for x
   x = 65,586,082.59/9,164.45
6. Step 6: Final answer
   x = 7,156.58