Finding the Fourth Proportional to 9,607.56, 13,261.74 and 5,629.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,607.56 : 13,261.74 = 5,629.96 : x
2. Step 2: Convert to fraction form
   9,607.56/13,261.74 = 5,629.96/x
3. Step 3: Cross multiply
   9,607.56x = 13,261.74 × 5,629.96
4. Step 4: Simplify right side
   9,607.56x = 74,663,065.73
5. Step 5: Solve for x
   x = 74,663,065.73/9,607.56
6. Step 6: Final answer
   x = 7,771.28