Finding the Fourth Proportional to 9,165.30, 12,647.25 and 5,627.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.30 : 12,647.25 = 5,627.94 : x
2. Step 2: Convert to fraction form
   9,165.30/12,647.25 = 5,627.94/x
3. Step 3: Cross multiply
   9,165.30x = 12,647.25 × 5,627.94
4. Step 4: Simplify right side
   9,165.30x = 71,177,964.17
5. Step 5: Solve for x
   x = 71,177,964.17/9,165.30
6. Step 6: Final answer
   x = 7,766.03