Finding the Fourth Proportional to 9,224.40, 12,730.82 and 5,638.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,224.40 : 12,730.82 = 5,638.62 : x
2. Step 2: Convert to fraction form
   9,224.40/12,730.82 = 5,638.62/x
3. Step 3: Cross multiply
   9,224.40x = 12,730.82 × 5,638.62
4. Step 4: Simplify right side
   9,224.40x = 71,784,256.27
5. Step 5: Solve for x
   x = 71,784,256.27/9,224.40
6. Step 6: Final answer
   x = 7,782.00