Finding the Fourth Proportional to 13,829.43, 19,086.21 and 7,697.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,829.43 : 19,086.21 = 7,697.76 : x
2. Step 2: Convert to fraction form
   13,829.43/19,086.21 = 7,697.76/x
3. Step 3: Cross multiply
   13,829.43x = 19,086.21 × 7,697.76
4. Step 4: Simplify right side
   13,829.43x = 146,921,063.89
5. Step 5: Solve for x
   x = 146,921,063.89/13,829.43
6. Step 6: Final answer
   x = 10,623.80