Finding the Fourth Proportional to 9,187.52, 12,674.34 and 5,644.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,187.52 : 12,674.34 = 5,644.58 : x
2. Step 2: Convert to fraction form
   9,187.52/12,674.34 = 5,644.58/x
3. Step 3: Cross multiply
   9,187.52x = 12,674.34 × 5,644.58
4. Step 4: Simplify right side
   9,187.52x = 71,541,262.71
5. Step 5: Solve for x
   x = 71,541,262.71/9,187.52
6. Step 6: Final answer
   x = 7,786.79