Finding the Fourth Proportional to 4,685.82, 6,466.23 and 2,561.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,685.82 : 6,466.23 = 2,561.31 : x
2. Step 2: Convert to fraction form
   4,685.82/6,466.23 = 2,561.31/x
3. Step 3: Cross multiply
   4,685.82x = 6,466.23 × 2,561.31
4. Step 4: Simplify right side
   4,685.82x = 16,562,019.56
5. Step 5: Solve for x
   x = 16,562,019.56/4,685.82
6. Step 6: Final answer
   x = 3,534.50