Finding the Fourth Proportional to 9,577.34, 13,214.77 and 5,597.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.34 : 13,214.77 = 5,597.67 : x
2. Step 2: Convert to fraction form
   9,577.34/13,214.77 = 5,597.67/x
3. Step 3: Cross multiply
   9,577.34x = 13,214.77 × 5,597.67
4. Step 4: Simplify right side
   9,577.34x = 73,971,921.59
5. Step 5: Solve for x
   x = 73,971,921.59/9,577.34
6. Step 6: Final answer
   x = 7,723.64