Finding the Fourth Proportional to 9,770.64, 13,483.17 and 5,578.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.64 : 13,483.17 = 5,578.89 : x
2. Step 2: Convert to fraction form
   9,770.64/13,483.17 = 5,578.89/x
3. Step 3: Cross multiply
   9,770.64x = 13,483.17 × 5,578.89
4. Step 4: Simplify right side
   9,770.64x = 75,221,122.28
5. Step 5: Solve for x
   x = 75,221,122.28/9,770.64
6. Step 6: Final answer
   x = 7,698.69