Finding the Fourth Proportional to 9,624.80, 13,281.32 and 5,645.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624.80 : 13,281.32 = 5,645.18 : x
2. Step 2: Convert to fraction form
   9,624.80/13,281.32 = 5,645.18/x
3. Step 3: Cross multiply
   9,624.80x = 13,281.32 × 5,645.18
4. Step 4: Simplify right side
   9,624.80x = 74,975,442.04
5. Step 5: Solve for x
   x = 74,975,442.04/9,624.80
6. Step 6: Final answer
   x = 7,789.82