Finding the Fourth Proportional to 2,780, 3,836.52 and 1,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780 : 3,836.52 = 1,538 : x
2. Step 2: Convert to fraction form
   2,780/3,836.52 = 1,538/x
3. Step 3: Cross multiply
   2,780x = 3,836.52 × 1,538
4. Step 4: Simplify right side
   2,780x = 5,900,567.76
5. Step 5: Solve for x
   x = 5,900,567.76/2,780
6. Step 6: Final answer
   x = 2,122.51