Finding the Fourth Proportional to 9,362.50, 12,921.69 and 5,638.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,362.50 : 12,921.69 = 5,638.66 : x
2. Step 2: Convert to fraction form
   9,362.50/12,921.69 = 5,638.66/x
3. Step 3: Cross multiply
   9,362.50x = 12,921.69 × 5,638.66
4. Step 4: Simplify right side
   9,362.50x = 72,861,016.54
5. Step 5: Solve for x
   x = 72,861,016.54/9,362.50
6. Step 6: Final answer
   x = 7,782.22