Finding the Fourth Proportional to 9,533.10, 14,300.06 and 3,609.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,533.10 : 14,300.06 = 3,609.42 : x
2. Step 2: Convert to fraction form
   9,533.10/14,300.06 = 3,609.42/x
3. Step 3: Cross multiply
   9,533.10x = 14,300.06 × 3,609.42
4. Step 4: Simplify right side
   9,533.10x = 51,614,922.57
5. Step 5: Solve for x
   x = 51,614,922.57/9,533.10
6. Step 6: Final answer
   x = 5,414.29