Finding the Fourth Proportional to 9,581.25, 13,222.14 and 5,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,581.25 : 13,222.14 = 5,389.50 : x
2. Step 2: Convert to fraction form
   9,581.25/13,222.14 = 5,389.50/x
3. Step 3: Cross multiply
   9,581.25x = 13,222.14 × 5,389.50
4. Step 4: Simplify right side
   9,581.25x = 71,260,723.53
5. Step 5: Solve for x
   x = 71,260,723.53/9,581.25
6. Step 6: Final answer
   x = 7,437.52