Finding the Fourth Proportional to 13,819.50, 19,071.18 and 10,830.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,819.50 : 19,071.18 = 10,830.06 : x
2. Step 2: Convert to fraction form
   13,819.50/19,071.18 = 10,830.06/x
3. Step 3: Cross multiply
   13,819.50x = 19,071.18 × 10,830.06
4. Step 4: Simplify right side
   13,819.50x = 206,542,023.67
5. Step 5: Solve for x
   x = 206,542,023.67/13,819.50
6. Step 6: Final answer
   x = 14,945.69