Finding the Fourth Proportional to 13,846.34, 19,109.04 and 7,878.26

Step by Step Solution

1. Step 1: Write the proportion equation
   13,846.34 : 19,109.04 = 7,878.26 : x
2. Step 2: Convert to fraction form
   13,846.34/19,109.04 = 7,878.26/x
3. Step 3: Cross multiply
   13,846.34x = 19,109.04 × 7,878.26
4. Step 4: Simplify right side
   13,846.34x = 150,545,985.47
5. Step 5: Solve for x
   x = 150,545,985.47/13,846.34
6. Step 6: Final answer
   x = 10,872.62