Finding the Fourth Proportional to 9,770.40, 13,482.18 and 5,578.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.40 : 13,482.18 = 5,578.56 : x
2. Step 2: Convert to fraction form
   9,770.40/13,482.18 = 5,578.56/x
3. Step 3: Cross multiply
   9,770.40x = 13,482.18 × 5,578.56
4. Step 4: Simplify right side
   9,770.40x = 75,211,150.06
5. Step 5: Solve for x
   x = 75,211,150.06/9,770.40
6. Step 6: Final answer
   x = 7,697.86