Finding the Fourth Proportional to 3,946.64, 5,886.70 and 3,674.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,946.64 : 5,886.70 = 3,674.48 : x
2. Step 2: Convert to fraction form
   3,946.64/5,886.70 = 3,674.48/x
3. Step 3: Cross multiply
   3,946.64x = 5,886.70 × 3,674.48
4. Step 4: Simplify right side
   3,946.64x = 21,630,561.42
5. Step 5: Solve for x
   x = 21,630,561.42/3,946.64
6. Step 6: Final answer
   x = 5,480.75