Finding the Fourth Proportional to 13,786.56, 19,027.41 and 7,819.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13,786.56 : 19,027.41 = 7,819.71 : x
2. Step 2: Convert to fraction form
   13,786.56/19,027.41 = 7,819.71/x
3. Step 3: Cross multiply
   13,786.56x = 19,027.41 × 7,819.71
4. Step 4: Simplify right side
   13,786.56x = 148,788,828.25
5. Step 5: Solve for x
   x = 148,788,828.25/13,786.56
6. Step 6: Final answer
   x = 10,792.31