Finding the Fourth Proportional to 8,074.64, 12,106.80 and 3,856.16

Step by Step Solution

1. Step 1: Write the proportion equation
   8,074.64 : 12,106.80 = 3,856.16 : x
2. Step 2: Convert to fraction form
   8,074.64/12,106.80 = 3,856.16/x
3. Step 3: Cross multiply
   8,074.64x = 12,106.80 × 3,856.16
4. Step 4: Simplify right side
   8,074.64x = 46,685,757.89
5. Step 5: Solve for x
   x = 46,685,757.89/8,074.64
6. Step 6: Final answer
   x = 5,781.78