Finding the Fourth Proportional to 13,388.64, 18,464.72 and 9,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,388.64 : 18,464.72 = 9,636.50 : x
2. Step 2: Convert to fraction form
   13,388.64/18,464.72 = 9,636.50/x
3. Step 3: Cross multiply
   13,388.64x = 18,464.72 × 9,636.50
4. Step 4: Simplify right side
   13,388.64x = 177,935,133.77
5. Step 5: Solve for x
   x = 177,935,133.77/13,388.64
6. Step 6: Final answer
   x = 13,290.01