Finding the Fourth Proportional to 12,774.75, 17,627.93 and 9,419.37

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.75 : 17,627.93 = 9,419.37 : x
2. Step 2: Convert to fraction form
   12,774.75/17,627.93 = 9,419.37/x
3. Step 3: Cross multiply
   12,774.75x = 17,627.93 × 9,419.37
4. Step 4: Simplify right side
   12,774.75x = 166,044,016.28
5. Step 5: Solve for x
   x = 166,044,016.28/12,774.75
6. Step 6: Final answer
   x = 12,997.83