Finding the Fourth Proportional to 9,563.94, 14,342.27 and 3,638.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.94 : 14,342.27 = 3,638.39 : x
2. Step 2: Convert to fraction form
   9,563.94/14,342.27 = 3,638.39/x
3. Step 3: Cross multiply
   9,563.94x = 14,342.27 × 3,638.39
4. Step 4: Simplify right side
   9,563.94x = 52,182,681.84
5. Step 5: Solve for x
   x = 52,182,681.84/9,563.94
6. Step 6: Final answer
   x = 5,456.19