Finding the Fourth Proportional to 6,975.56, 9,635.82 and 5,665.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,975.56 : 9,635.82 = 5,665.52 : x
2. Step 2: Convert to fraction form
   6,975.56/9,635.82 = 5,665.52/x
3. Step 3: Cross multiply
   6,975.56x = 9,635.82 × 5,665.52
4. Step 4: Simplify right side
   6,975.56x = 54,591,930.93
5. Step 5: Solve for x
   x = 54,591,930.93/6,975.56
6. Step 6: Final answer
   x = 7,826.17