Finding the Fourth Proportional to 9,164.95, 12,647.62 and 5,185.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.95 : 12,647.62 = 5,185.97 : x
2. Step 2: Convert to fraction form
   9,164.95/12,647.62 = 5,185.97/x
3. Step 3: Cross multiply
   9,164.95x = 12,647.62 × 5,185.97
4. Step 4: Simplify right side
   9,164.95x = 65,590,151.96
5. Step 5: Solve for x
   x = 65,590,151.96/9,164.95
6. Step 6: Final answer
   x = 7,156.63