Finding the Fourth Proportional to 13,807.56, 19,053.78 and 7,838.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,807.56 : 19,053.78 = 7,838.42 : x
2. Step 2: Convert to fraction form
   13,807.56/19,053.78 = 7,838.42/x
3. Step 3: Cross multiply
   13,807.56x = 19,053.78 × 7,838.42
4. Step 4: Simplify right side
   13,807.56x = 149,351,556.83
5. Step 5: Solve for x
   x = 149,351,556.83/13,807.56
6. Step 6: Final answer
   x = 10,816.65