Finding the Fourth Proportional to 9,624.34, 13,281.50 and 5,644.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.34 : 13,281.50 = 5,644.72 : x
2. Step 2: Convert to fraction form
   9,624.34/13,281.50 = 5,644.72/x
3. Step 3: Cross multiply
   9,624.34x = 13,281.50 × 5,644.72
4. Step 4: Simplify right side
   9,624.34x = 74,970,348.68
5. Step 5: Solve for x
   x = 74,970,348.68/9,624.34
6. Step 6: Final answer
   x = 7,789.66