Finding the Fourth Proportional to 14,013.81, 21,002.55 and 5,684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   14,013.81 : 21,002.55 = 5,684.10 : x
2. Step 2: Convert to fraction form
   14,013.81/21,002.55 = 5,684.10/x
3. Step 3: Cross multiply
   14,013.81x = 21,002.55 × 5,684.10
4. Step 4: Simplify right side
   14,013.81x = 119,380,594.46
5. Step 5: Solve for x
   x = 119,380,594.46/14,013.81
6. Step 6: Final answer
   x = 8,518.78