Finding the Fourth Proportional to 12,584.33, 18,876.90 and 3,819.32

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584.33 : 18,876.90 = 3,819.32 : x
2. Step 2: Convert to fraction form
   12,584.33/18,876.90 = 3,819.32/x
3. Step 3: Cross multiply
   12,584.33x = 18,876.90 × 3,819.32
4. Step 4: Simplify right side
   12,584.33x = 72,096,827.32
5. Step 5: Solve for x
   x = 72,096,827.32/12,584.33
6. Step 6: Final answer
   x = 5,729.10