Finding the Fourth Proportional to 3,692.00, 5,540.63 and 2,049.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.00 : 5,540.63 = 2,049.86 : x
2. Step 2: Convert to fraction form
   3,692.00/5,540.63 = 2,049.86/x
3. Step 3: Cross multiply
   3,692.00x = 5,540.63 × 2,049.86
4. Step 4: Simplify right side
   3,692.00x = 11,357,477.86
5. Step 5: Solve for x
   x = 11,357,477.86/3,692.00
6. Step 6: Final answer
   x = 3,076.24