Finding the Fourth Proportional to 9,574.19, 13,212.56 and 5,597.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.19 : 13,212.56 = 5,597.60 : x
2. Step 2: Convert to fraction form
   9,574.19/13,212.56 = 5,597.60/x
3. Step 3: Cross multiply
   9,574.19x = 13,212.56 × 5,597.60
4. Step 4: Simplify right side
   9,574.19x = 73,958,658.89
5. Step 5: Solve for x
   x = 73,958,658.89/9,574.19
6. Step 6: Final answer
   x = 7,724.80