Finding the Fourth Proportional to 14,126.34, 19,493.69 and 7,838.58

Step by Step Solution

1. Step 1: Write the proportion equation
   14,126.34 : 19,493.69 = 7,838.58 : x
2. Step 2: Convert to fraction form
   14,126.34/19,493.69 = 7,838.58/x
3. Step 3: Cross multiply
   14,126.34x = 19,493.69 × 7,838.58
4. Step 4: Simplify right side
   14,126.34x = 152,802,809.37
5. Step 5: Solve for x
   x = 152,802,809.37/14,126.34
6. Step 6: Final answer
   x = 10,816.87