Finding the Fourth Proportional to 9,164.12, 12,646.43 and 5,185.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.12 : 12,646.43 = 5,185.14 : x
2. Step 2: Convert to fraction form
   9,164.12/12,646.43 = 5,185.14/x
3. Step 3: Cross multiply
   9,164.12x = 12,646.43 × 5,185.14
4. Step 4: Simplify right side
   9,164.12x = 65,573,484.12
5. Step 5: Solve for x
   x = 65,573,484.12/9,164.12
6. Step 6: Final answer
   x = 7,155.46