Finding the Fourth Proportional to 9,165.38, 12,647.46 and 5,185.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.38 : 12,647.46 = 5,185.58 : x
2. Step 2: Convert to fraction form
   9,165.38/12,647.46 = 5,185.58/x
3. Step 3: Cross multiply
   9,165.38x = 12,647.46 × 5,185.58
4. Step 4: Simplify right side
   9,165.38x = 65,584,415.63
5. Step 5: Solve for x
   x = 65,584,415.63/9,165.38
6. Step 6: Final answer
   x = 7,155.67