Finding the Fourth Proportional to 13,850.34, 19,114.56 and 7,882.26

Step by Step Solution

1. Step 1: Write the proportion equation
   13,850.34 : 19,114.56 = 7,882.26 : x
2. Step 2: Convert to fraction form
   13,850.34/19,114.56 = 7,882.26/x
3. Step 3: Cross multiply
   13,850.34x = 19,114.56 × 7,882.26
4. Step 4: Simplify right side
   13,850.34x = 150,665,931.71
5. Step 5: Solve for x
   x = 150,665,931.71/13,850.34
6. Step 6: Final answer
   x = 10,878.14