Finding the Fourth Proportional to 9,565.56, 13,198.59 and 5,586.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.56 : 13,198.59 = 5,586.84 : x
2. Step 2: Convert to fraction form
   9,565.56/13,198.59 = 5,586.84/x
3. Step 3: Cross multiply
   9,565.56x = 13,198.59 × 5,586.84
4. Step 4: Simplify right side
   9,565.56x = 73,738,410.56
5. Step 5: Solve for x
   x = 73,738,410.56/9,565.56
6. Step 6: Final answer
   x = 7,708.74