Finding the Fourth Proportional to 6,946.10, 9,585.69 and 3,962.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.10 : 9,585.69 = 3,962.10 : x
2. Step 2: Convert to fraction form
   6,946.10/9,585.69 = 3,962.10/x
3. Step 3: Cross multiply
   6,946.10x = 9,585.69 × 3,962.10
4. Step 4: Simplify right side
   6,946.10x = 37,979,462.35
5. Step 5: Solve for x
   x = 37,979,462.35/6,946.10
6. Step 6: Final answer
   x = 5,467.74