Finding the Fourth Proportional to 6,945.89, 9,586.82 and 4,427.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.89 : 9,586.82 = 4,427.40 : x
2. Step 2: Convert to fraction form
   6,945.89/9,586.82 = 4,427.40/x
3. Step 3: Cross multiply
   6,945.89x = 9,586.82 × 4,427.40
4. Step 4: Simplify right side
   6,945.89x = 42,444,686.87
5. Step 5: Solve for x
   x = 42,444,686.87/6,945.89
6. Step 6: Final answer
   x = 6,110.76