Finding the Fourth Proportional to 12,774.75, 17,626.50 and 7,468.54

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.75 : 17,626.50 = 7,468.54 : x
2. Step 2: Convert to fraction form
   12,774.75/17,626.50 = 7,468.54/x
3. Step 3: Cross multiply
   12,774.75x = 17,626.50 × 7,468.54
4. Step 4: Simplify right side
   12,774.75x = 131,644,220.31
5. Step 5: Solve for x
   x = 131,644,220.31/12,774.75
6. Step 6: Final answer
   x = 10,305.03