Finding the Fourth Proportional to 9,164.06, 12,646.69 and 5,185.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.06 : 12,646.69 = 5,185.10 : x
2. Step 2: Convert to fraction form
   9,164.06/12,646.69 = 5,185.10/x
3. Step 3: Cross multiply
   9,164.06x = 12,646.69 × 5,185.10
4. Step 4: Simplify right side
   9,164.06x = 65,574,352.32
5. Step 5: Solve for x
   x = 65,574,352.32/9,164.06
6. Step 6: Final answer
   x = 7,155.60