Finding the Fourth Proportional to 14,182, 19,571.25 and 7,894.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,182 : 19,571.25 = 7,894.42 : x
2. Step 2: Convert to fraction form
   14,182/19,571.25 = 7,894.42/x
3. Step 3: Cross multiply
   14,182x = 19,571.25 × 7,894.42
4. Step 4: Simplify right side
   14,182x = 154,503,667.43
5. Step 5: Solve for x
   x = 154,503,667.43/14,182
6. Step 6: Final answer
   x = 10,894.35