Finding the Fourth Proportional to 9,665.36, 14,499.92 and 4,118.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.36 : 14,499.92 = 4,118.64 : x
2. Step 2: Convert to fraction form
   9,665.36/14,499.92 = 4,118.64/x
3. Step 3: Cross multiply
   9,665.36x = 14,499.92 × 4,118.64
4. Step 4: Simplify right side
   9,665.36x = 59,719,950.51
5. Step 5: Solve for x
   x = 59,719,950.51/9,665.36
6. Step 6: Final answer
   x = 6,178.76