Finding the Fourth Proportional to 9,164.61, 12,647.16 and 5,185.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.61 : 12,647.16 = 5,185.64 : x
2. Step 2: Convert to fraction form
   9,164.61/12,647.16 = 5,185.64/x
3. Step 3: Cross multiply
   9,164.61x = 12,647.16 × 5,185.64
4. Step 4: Simplify right side
   9,164.61x = 65,583,618.78
5. Step 5: Solve for x
   x = 65,583,618.78/9,164.61
6. Step 6: Final answer
   x = 7,156.18