Finding the Fourth Proportional to 3,096.64, 4,645.59 and 2,786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,096.64 : 4,645.59 = 2,786.82 : x
2. Step 2: Convert to fraction form
   3,096.64/4,645.59 = 2,786.82/x
3. Step 3: Cross multiply
   3,096.64x = 4,645.59 × 2,786.82
4. Step 4: Simplify right side
   3,096.64x = 12,946,423.12
5. Step 5: Solve for x
   x = 12,946,423.12/3,096.64
6. Step 6: Final answer
   x = 4,180.80