Finding the Fourth Proportional to 6,458.67, 9,685.89 and 2,075.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458.67 : 9,685.89 = 2,075.09 : x
2. Step 2: Convert to fraction form
   6,458.67/9,685.89 = 2,075.09/x
3. Step 3: Cross multiply
   6,458.67x = 9,685.89 × 2,075.09
4. Step 4: Simplify right side
   6,458.67x = 20,099,045.05
5. Step 5: Solve for x
   x = 20,099,045.05/6,458.67
6. Step 6: Final answer
   x = 3,111.95