Finding the Fourth Proportional to 2,066.40, 2,855.73 and 1,692.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.40 : 2,855.73 = 1,692.80 : x
2. Step 2: Convert to fraction form
   2,066.40/2,855.73 = 1,692.80/x
3. Step 3: Cross multiply
   2,066.40x = 2,855.73 × 1,692.80
4. Step 4: Simplify right side
   2,066.40x = 4,834,165.47
5. Step 5: Solve for x
   x = 4,834,165.47/2,066.40
6. Step 6: Final answer
   x = 2,339.41