Finding the Fourth Proportional to 9,585.48, 14,380.65 and 3,662.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.48 : 14,380.65 = 3,662.37 : x
2. Step 2: Convert to fraction form
   9,585.48/14,380.65 = 3,662.37/x
3. Step 3: Cross multiply
   9,585.48x = 14,380.65 × 3,662.37
4. Step 4: Simplify right side
   9,585.48x = 52,667,261.14
5. Step 5: Solve for x
   x = 52,667,261.14/9,585.48
6. Step 6: Final answer
   x = 5,494.48