Finding the Fourth Proportional to 3,769.38, 5,646.51 and 1,920.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.38 : 5,646.51 = 1,920.42 : x
2. Step 2: Convert to fraction form
   3,769.38/5,646.51 = 1,920.42/x
3. Step 3: Cross multiply
   3,769.38x = 5,646.51 × 1,920.42
4. Step 4: Simplify right side
   3,769.38x = 10,843,670.73
5. Step 5: Solve for x
   x = 10,843,670.73/3,769.38
6. Step 6: Final answer
   x = 2,876.78