Finding the Fourth Proportional to 3,800.42, 5,692.98 and 1,823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,800.42 : 5,692.98 = 1,823.31 : x
2. Step 2: Convert to fraction form
   3,800.42/5,692.98 = 1,823.31/x
3. Step 3: Cross multiply
   3,800.42x = 5,692.98 × 1,823.31
4. Step 4: Simplify right side
   3,800.42x = 10,380,074.20
5. Step 5: Solve for x
   x = 10,380,074.20/3,800.42
6. Step 6: Final answer
   x = 2,731.30