Finding the Fourth Proportional to 9,616.56, 13,270.56 and 5,637.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.56 : 13,270.56 = 5,637.60 : x
2. Step 2: Convert to fraction form
   9,616.56/13,270.56 = 5,637.60/x
3. Step 3: Cross multiply
   9,616.56x = 13,270.56 × 5,637.60
4. Step 4: Simplify right side
   9,616.56x = 74,814,109.06
5. Step 5: Solve for x
   x = 74,814,109.06/9,616.56
6. Step 6: Final answer
   x = 7,779.72