Finding the Fourth Proportional to 9,164.18, 12,646.83 and 5,185.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.18 : 12,646.83 = 5,185.20 : x
2. Step 2: Convert to fraction form
   9,164.18/12,646.83 = 5,185.20/x
3. Step 3: Cross multiply
   9,164.18x = 12,646.83 × 5,185.20
4. Step 4: Simplify right side
   9,164.18x = 65,576,342.92
5. Step 5: Solve for x
   x = 65,576,342.92/9,164.18
6. Step 6: Final answer
   x = 7,155.73