Finding the Fourth Proportional to 6,851.82, 9,446.90 and 5,591.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,851.82 : 9,446.90 = 5,591.59 : x
2. Step 2: Convert to fraction form
   6,851.82/9,446.90 = 5,591.59/x
3. Step 3: Cross multiply
   6,851.82x = 9,446.90 × 5,591.59
4. Step 4: Simplify right side
   6,851.82x = 52,823,191.57
5. Step 5: Solve for x
   x = 52,823,191.57/6,851.82
6. Step 6: Final answer
   x = 7,709.37