Finding the Fourth Proportional to 9,628.22, 13,283.22 and 5,647.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628.22 : 13,283.22 = 5,647.88 : x
2. Step 2: Convert to fraction form
   9,628.22/13,283.22 = 5,647.88/x
3. Step 3: Cross multiply
   9,628.22x = 13,283.22 × 5,647.88
4. Step 4: Simplify right side
   9,628.22x = 75,022,032.57
5. Step 5: Solve for x
   x = 75,022,032.57/9,628.22
6. Step 6: Final answer
   x = 7,791.89