Finding the Fourth Proportional to 9,608.52, 14,410.68 and 3,683.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.52 : 14,410.68 = 3,683.40 : x
2. Step 2: Convert to fraction form
   9,608.52/14,410.68 = 3,683.40/x
3. Step 3: Cross multiply
   9,608.52x = 14,410.68 × 3,683.40
4. Step 4: Simplify right side
   9,608.52x = 53,080,298.71
5. Step 5: Solve for x
   x = 53,080,298.71/9,608.52
6. Step 6: Final answer
   x = 5,524.29