Finding the Fourth Proportional to 9,627.63, 13,282.56 and 5,647.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.63 : 13,282.56 = 5,647.29 : x
2. Step 2: Convert to fraction form
   9,627.63/13,282.56 = 5,647.29/x
3. Step 3: Cross multiply
   9,627.63x = 13,282.56 × 5,647.29
4. Step 4: Simplify right side
   9,627.63x = 75,010,468.26
5. Step 5: Solve for x
   x = 75,010,468.26/9,627.63
6. Step 6: Final answer
   x = 7,791.17