Finding the Fourth Proportional to 9,585.47, 14,384.18 and 3,662.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.47 : 14,384.18 = 3,662.88 : x
2. Step 2: Convert to fraction form
   9,585.47/14,384.18 = 3,662.88/x
3. Step 3: Cross multiply
   9,585.47x = 14,384.18 × 3,662.88
4. Step 4: Simplify right side
   9,585.47x = 52,687,574.60
5. Step 5: Solve for x
   x = 52,687,574.60/9,585.47
6. Step 6: Final answer
   x = 5,496.61