Finding the Fourth Proportional to 2,538.74, 3,808.89 and 1,205.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.74 : 3,808.89 = 1,205.57 : x
2. Step 2: Convert to fraction form
   2,538.74/3,808.89 = 1,205.57/x
3. Step 3: Cross multiply
   2,538.74x = 3,808.89 × 1,205.57
4. Step 4: Simplify right side
   2,538.74x = 4,591,864.47
5. Step 5: Solve for x
   x = 4,591,864.47/2,538.74
6. Step 6: Final answer
   x = 1,808.72