Finding the Fourth Proportional to 3,862.83, 5,789.79 and 1,778.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,862.83 : 5,789.79 = 1,778.48 : x
2. Step 2: Convert to fraction form
   3,862.83/5,789.79 = 1,778.48/x
3. Step 3: Cross multiply
   3,862.83x = 5,789.79 × 1,778.48
4. Step 4: Simplify right side
   3,862.83x = 10,296,996.77
5. Step 5: Solve for x
   x = 10,296,996.77/3,862.83
6. Step 6: Final answer
   x = 2,665.66