Finding the Fourth Proportional to 7,722, 10,656.50 and 4,185.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,722 : 10,656.50 = 4,185.27 : x
2. Step 2: Convert to fraction form
   7,722/10,656.50 = 4,185.27/x
3. Step 3: Cross multiply
   7,722x = 10,656.50 × 4,185.27
4. Step 4: Simplify right side
   7,722x = 44,600,308.83
5. Step 5: Solve for x
   x = 44,600,308.83/7,722
6. Step 6: Final answer
   x = 5,775.75