Finding the Fourth Proportional to 13,846.24, 19,106.06 and 7,878.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,846.24 : 19,106.06 = 7,878.01 : x
2. Step 2: Convert to fraction form
   13,846.24/19,106.06 = 7,878.01/x
3. Step 3: Cross multiply
   13,846.24x = 19,106.06 × 7,878.01
4. Step 4: Simplify right side
   13,846.24x = 150,517,662.19
5. Step 5: Solve for x
   x = 150,517,662.19/13,846.24
6. Step 6: Final answer
   x = 10,870.65