Finding the Fourth Proportional to 9,556.82, 13,189.08 and 5,780.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,556.82 : 13,189.08 = 5,780.15 : x
2. Step 2: Convert to fraction form
   9,556.82/13,189.08 = 5,780.15/x
3. Step 3: Cross multiply
   9,556.82x = 13,189.08 × 5,780.15
4. Step 4: Simplify right side
   9,556.82x = 76,234,794.82
5. Step 5: Solve for x
   x = 76,234,794.82/9,556.82
6. Step 6: Final answer
   x = 7,977.01