Finding the Fourth Proportional to 2,205.14, 3,309.31 and 1,777.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.14 : 3,309.31 = 1,777.46 : x
2. Step 2: Convert to fraction form
   2,205.14/3,309.31 = 1,777.46/x
3. Step 3: Cross multiply
   2,205.14x = 3,309.31 × 1,777.46
4. Step 4: Simplify right side
   2,205.14x = 5,882,166.15
5. Step 5: Solve for x
   x = 5,882,166.15/2,205.14
6. Step 6: Final answer
   x = 2,667.48