Finding the Fourth Proportional to 9,164.88, 12,647.88 and 5,186.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.88 : 12,647.88 = 5,186.16 : x
2. Step 2: Convert to fraction form
   9,164.88/12,647.88 = 5,186.16/x
3. Step 3: Cross multiply
   9,164.88x = 12,647.88 × 5,186.16
4. Step 4: Simplify right side
   9,164.88x = 65,593,929.34
5. Step 5: Solve for x
   x = 65,593,929.34/9,164.88
6. Step 6: Final answer
   x = 7,157.10