Finding the Fourth Proportional to 9,662.32, 14,497.60 and 4,118.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.32 : 14,497.60 = 4,118.27 : x
2. Step 2: Convert to fraction form
   9,662.32/14,497.60 = 4,118.27/x
3. Step 3: Cross multiply
   9,662.32x = 14,497.60 × 4,118.27
4. Step 4: Simplify right side
   9,662.32x = 59,705,037.64
5. Step 5: Solve for x
   x = 59,705,037.64/9,662.32
6. Step 6: Final answer
   x = 6,179.16