Finding the Fourth Proportional to 9,164.36, 12,646.82 and 5,185.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.36 : 12,646.82 = 5,185.39 : x
2. Step 2: Convert to fraction form
   9,164.36/12,646.82 = 5,185.39/x
3. Step 3: Cross multiply
   9,164.36x = 12,646.82 × 5,185.39
4. Step 4: Simplify right side
   9,164.36x = 65,578,668.03
5. Step 5: Solve for x
   x = 65,578,668.03/9,164.36
6. Step 6: Final answer
   x = 7,155.84