Finding the Fourth Proportional to 3,846.82, 5,308.29 and 2,274.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.82 : 5,308.29 = 2,274.64 : x
2. Step 2: Convert to fraction form
   3,846.82/5,308.29 = 2,274.64/x
3. Step 3: Cross multiply
   3,846.82x = 5,308.29 × 2,274.64
4. Step 4: Simplify right side
   3,846.82x = 12,074,448.77
5. Step 5: Solve for x
   x = 12,074,448.77/3,846.82
6. Step 6: Final answer
   x = 3,138.81