Finding the Fourth Proportional to 6,930.56, 9,564.16 and 3,786.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,930.56 : 9,564.16 = 3,786.72 : x
2. Step 2: Convert to fraction form
   6,930.56/9,564.16 = 3,786.72/x
3. Step 3: Cross multiply
   6,930.56x = 9,564.16 × 3,786.72
4. Step 4: Simplify right side
   6,930.56x = 36,216,795.96
5. Step 5: Solve for x
   x = 36,216,795.96/6,930.56
6. Step 6: Final answer
   x = 5,225.67