Finding the Fourth Proportional to 7,683.42, 11,501.34 and 4,164.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,683.42 : 11,501.34 = 4,164.72 : x
2. Step 2: Convert to fraction form
   7,683.42/11,501.34 = 4,164.72/x
3. Step 3: Cross multiply
   7,683.42x = 11,501.34 × 4,164.72
4. Step 4: Simplify right side
   7,683.42x = 47,899,860.72
5. Step 5: Solve for x
   x = 47,899,860.72/7,683.42
6. Step 6: Final answer
   x = 6,234.18