Finding the Fourth Proportional to 9,164.80, 12,647.43 and 5,185.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.80 : 12,647.43 = 5,185.84 : x
2. Step 2: Convert to fraction form
   9,164.80/12,647.43 = 5,185.84/x
3. Step 3: Cross multiply
   9,164.80x = 12,647.43 × 5,185.84
4. Step 4: Simplify right side
   9,164.80x = 65,587,548.39
5. Step 5: Solve for x
   x = 65,587,548.39/9,164.80
6. Step 6: Final answer
   x = 7,156.46