Finding the Fourth Proportional to 9,606.58, 13,256.74 and 5,627.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.58 : 13,256.74 = 5,627.60 : x
2. Step 2: Convert to fraction form
   9,606.58/13,256.74 = 5,627.60/x
3. Step 3: Cross multiply
   9,606.58x = 13,256.74 × 5,627.60
4. Step 4: Simplify right side
   9,606.58x = 74,603,630.02
5. Step 5: Solve for x
   x = 74,603,630.02/9,606.58
6. Step 6: Final answer
   x = 7,765.89