Finding the Fourth Proportional to 9,640.89, 13,308.74 and 5,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.89 : 13,308.74 = 5,662.25 : x
2. Step 2: Convert to fraction form
   9,640.89/13,308.74 = 5,662.25/x
3. Step 3: Cross multiply
   9,640.89x = 13,308.74 × 5,662.25
4. Step 4: Simplify right side
   9,640.89x = 75,357,464.21
5. Step 5: Solve for x
   x = 75,357,464.21/9,640.89
6. Step 6: Final answer
   x = 7,816.44