Finding the Fourth Proportional to 3,123.78, 4,681.34 and 2,582.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,123.78 : 4,681.34 = 2,582.48 : x
2. Step 2: Convert to fraction form
   3,123.78/4,681.34 = 2,582.48/x
3. Step 3: Cross multiply
   3,123.78x = 4,681.34 × 2,582.48
4. Step 4: Simplify right side
   3,123.78x = 12,089,466.92
5. Step 5: Solve for x
   x = 12,089,466.92/3,123.78
6. Step 6: Final answer
   x = 3,870.14