Finding the Fourth Proportional to 6,946.52, 9,586.72 and 3,962.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.52 : 9,586.72 = 3,962.42 : x
2. Step 2: Convert to fraction form
   6,946.52/9,586.72 = 3,962.42/x
3. Step 3: Cross multiply
   6,946.52x = 9,586.72 × 3,962.42
4. Step 4: Simplify right side
   6,946.52x = 37,986,611.06
5. Step 5: Solve for x
   x = 37,986,611.06/6,946.52
6. Step 6: Final answer
   x = 5,468.44