Finding the Fourth Proportional to 9,665.56, 14,487.27 and 4,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.56 : 14,487.27 = 4,460.50 : x
2. Step 2: Convert to fraction form
   9,665.56/14,487.27 = 4,460.50/x
3. Step 3: Cross multiply
   9,665.56x = 14,487.27 × 4,460.50
4. Step 4: Simplify right side
   9,665.56x = 64,620,467.84
5. Step 5: Solve for x
   x = 64,620,467.84/9,665.56
6. Step 6: Final answer
   x = 6,685.64