Finding the Fourth Proportional to 12,774.21, 17,627.82 and 7,396.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.21 : 17,627.82 = 7,396.38 : x
2. Step 2: Convert to fraction form
   12,774.21/17,627.82 = 7,396.38/x
3. Step 3: Cross multiply
   12,774.21x = 17,627.82 × 7,396.38
4. Step 4: Simplify right side
   12,774.21x = 130,382,055.29
5. Step 5: Solve for x
   x = 130,382,055.29/12,774.21
6. Step 6: Final answer
   x = 10,206.66