Finding the Fourth Proportional to 9,164.97, 12,650.85 and 5,628.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.97 : 12,650.85 = 5,628.51 : x
2. Step 2: Convert to fraction form
   9,164.97/12,650.85 = 5,628.51/x
3. Step 3: Cross multiply
   9,164.97x = 12,650.85 × 5,628.51
4. Step 4: Simplify right side
   9,164.97x = 71,205,435.73
5. Step 5: Solve for x
   x = 71,205,435.73/9,164.97
6. Step 6: Final answer
   x = 7,769.30