Finding the Fourth Proportional to 9,604.58, 13,253.98 and 5,625.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,604.58 : 13,253.98 = 5,625.60 : x
2. Step 2: Convert to fraction form
   9,604.58/13,253.98 = 5,625.60/x
3. Step 3: Cross multiply
   9,604.58x = 13,253.98 × 5,625.60
4. Step 4: Simplify right side
   9,604.58x = 74,561,611.22
5. Step 5: Solve for x
   x = 74,561,611.22/9,604.58
6. Step 6: Final answer
   x = 7,763.13