Finding the Fourth Proportional to 13,846.42, 19,107.80 and 7,877.95

Step by Step Solution

1. Step 1: Write the proportion equation
   13,846.42 : 19,107.80 = 7,877.95 : x
2. Step 2: Convert to fraction form
   13,846.42/19,107.80 = 7,877.95/x
3. Step 3: Cross multiply
   13,846.42x = 19,107.80 × 7,877.95
4. Step 4: Simplify right side
   13,846.42x = 150,530,293.01
5. Step 5: Solve for x
   x = 150,530,293.01/13,846.42
6. Step 6: Final answer
   x = 10,871.43