Finding the Fourth Proportional to 14,126.46, 19,493.59 and 7,838.62

Step by Step Solution

1. Step 1: Write the proportion equation
   14,126.46 : 19,493.59 = 7,838.62 : x
2. Step 2: Convert to fraction form
   14,126.46/19,493.59 = 7,838.62/x
3. Step 3: Cross multiply
   14,126.46x = 19,493.59 × 7,838.62
4. Step 4: Simplify right side
   14,126.46x = 152,802,844.45
5. Step 5: Solve for x
   x = 152,802,844.45/14,126.46
6. Step 6: Final answer
   x = 10,816.78