Finding the Fourth Proportional to 13,219.57, 19,826.28 and 3,857.62

Step by Step Solution

1. Step 1: Write the proportion equation
   13,219.57 : 19,826.28 = 3,857.62 : x
2. Step 2: Convert to fraction form
   13,219.57/19,826.28 = 3,857.62/x
3. Step 3: Cross multiply
   13,219.57x = 19,826.28 × 3,857.62
4. Step 4: Simplify right side
   13,219.57x = 76,482,204.69
5. Step 5: Solve for x
   x = 76,482,204.69/13,219.57
6. Step 6: Final answer
   x = 5,785.53