Finding the Fourth Proportional to 6,930.90, 9,565.25 and 3,946.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,930.90 : 9,565.25 = 3,946.10 : x
2. Step 2: Convert to fraction form
   6,930.90/9,565.25 = 3,946.10/x
3. Step 3: Cross multiply
   6,930.90x = 9,565.25 × 3,946.10
4. Step 4: Simplify right side
   6,930.90x = 37,745,365.47
5. Step 5: Solve for x
   x = 37,745,365.47/6,930.90
6. Step 6: Final answer
   x = 5,445.95