Finding the Fourth Proportional to 9,585.40, 13,227.82 and 5,393.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585.40 : 13,227.82 = 5,393.65 : x
2. Step 2: Convert to fraction form
   9,585.40/13,227.82 = 5,393.65/x
3. Step 3: Cross multiply
   9,585.40x = 13,227.82 × 5,393.65
4. Step 4: Simplify right side
   9,585.40x = 71,346,231.34
5. Step 5: Solve for x
   x = 71,346,231.34/9,585.40
6. Step 6: Final answer
   x = 7,443.22