Finding the Fourth Proportional to 8,684.50, 13,022.16 and 4,000.42

Step by Step Solution

1. Step 1: Write the proportion equation
   8,684.50 : 13,022.16 = 4,000.42 : x
2. Step 2: Convert to fraction form
   8,684.50/13,022.16 = 4,000.42/x
3. Step 3: Cross multiply
   8,684.50x = 13,022.16 × 4,000.42
4. Step 4: Simplify right side
   8,684.50x = 52,094,109.31
5. Step 5: Solve for x
   x = 52,094,109.31/8,684.50
6. Step 6: Final answer
   x = 5,998.52