Finding the Fourth Proportional to 9,684.72, 14,533.22 and 4,138.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.72 : 14,533.22 = 4,138.10 : x
2. Step 2: Convert to fraction form
   9,684.72/14,533.22 = 4,138.10/x
3. Step 3: Cross multiply
   9,684.72x = 14,533.22 × 4,138.10
4. Step 4: Simplify right side
   9,684.72x = 60,139,933.32
5. Step 5: Solve for x
   x = 60,139,933.32/9,684.72
6. Step 6: Final answer
   x = 6,209.78