Finding the Fourth Proportional to 9,769.42, 13,482.89 and 5,577.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.42 : 13,482.89 = 5,577.67 : x
2. Step 2: Convert to fraction form
   9,769.42/13,482.89 = 5,577.67/x
3. Step 3: Cross multiply
   9,769.42x = 13,482.89 × 5,577.67
4. Step 4: Simplify right side
   9,769.42x = 75,203,111.07
5. Step 5: Solve for x
   x = 75,203,111.07/9,769.42
6. Step 6: Final answer
   x = 7,697.81