Finding the Fourth Proportional to 3,692.94, 5,096.27 and 2,014.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.94 : 5,096.27 = 2,014.33 : x
2. Step 2: Convert to fraction form
   3,692.94/5,096.27 = 2,014.33/x
3. Step 3: Cross multiply
   3,692.94x = 5,096.27 × 2,014.33
4. Step 4: Simplify right side
   3,692.94x = 10,265,559.48
5. Step 5: Solve for x
   x = 10,265,559.48/3,692.94
6. Step 6: Final answer
   x = 2,779.78