Finding the Fourth Proportional to 9,620.24, 13,279.46 and 5,644.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,620.24 : 13,279.46 = 5,644.68 : x
2. Step 2: Convert to fraction form
   9,620.24/13,279.46 = 5,644.68/x
3. Step 3: Cross multiply
   9,620.24x = 13,279.46 × 5,644.68
4. Step 4: Simplify right side
   9,620.24x = 74,958,274.05
5. Step 5: Solve for x
   x = 74,958,274.05/9,620.24
6. Step 6: Final answer
   x = 7,791.73