Finding the Fourth Proportional to 9,669.89, 13,345.30 and 5,636.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,669.89 : 13,345.30 = 5,636.49 : x
2. Step 2: Convert to fraction form
   9,669.89/13,345.30 = 5,636.49/x
3. Step 3: Cross multiply
   9,669.89x = 13,345.30 × 5,636.49
4. Step 4: Simplify right side
   9,669.89x = 75,220,650.00
5. Step 5: Solve for x
   x = 75,220,650.00/9,669.89
6. Step 6: Final answer
   x = 7,778.85