Finding the Fourth Proportional to 9,605.56, 13,258.98 and 5,627.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.56 : 13,258.98 = 5,627.96 : x
2. Step 2: Convert to fraction form
   9,605.56/13,258.98 = 5,627.96/x
3. Step 3: Cross multiply
   9,605.56x = 13,258.98 × 5,627.96
4. Step 4: Simplify right side
   9,605.56x = 74,621,009.08
5. Step 5: Solve for x
   x = 74,621,009.08/9,605.56
6. Step 6: Final answer
   x = 7,768.52