Finding the Fourth Proportional to 9,582.06, 13,222.53 and 5,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582.06 : 13,222.53 = 5,389.50 : x
2. Step 2: Convert to fraction form
   9,582.06/13,222.53 = 5,389.50/x
3. Step 3: Cross multiply
   9,582.06x = 13,222.53 × 5,389.50
4. Step 4: Simplify right side
   9,582.06x = 71,262,825.44
5. Step 5: Solve for x
   x = 71,262,825.44/9,582.06
6. Step 6: Final answer
   x = 7,437.11