Finding the Fourth Proportional to 9,164.07, 12,646.69 and 5,185.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.07 : 12,646.69 = 5,185.10 : x
2. Step 2: Convert to fraction form
   9,164.07/12,646.69 = 5,185.10/x
3. Step 3: Cross multiply
   9,164.07x = 12,646.69 × 5,185.10
4. Step 4: Simplify right side
   9,164.07x = 65,574,370.97
5. Step 5: Solve for x
   x = 65,574,370.97/9,164.07
6. Step 6: Final answer
   x = 7,155.59