Finding the Fourth Proportional to 12,946.96, 17,856.52 and 8,404.68

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.96 : 17,856.52 = 8,404.68 : x
2. Step 2: Convert to fraction form
   12,946.96/17,856.52 = 8,404.68/x
3. Step 3: Cross multiply
   12,946.96x = 17,856.52 × 8,404.68
4. Step 4: Simplify right side
   12,946.96x = 150,078,336.51
5. Step 5: Solve for x
   x = 150,078,336.51/12,946.96
6. Step 6: Final answer
   x = 11,591.78