Finding the Fourth Proportional to 2,780.14, 3,836.56 and 1,538.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.14 : 3,836.56 = 1,538.14 : x
2. Step 2: Convert to fraction form
   2,780.14/3,836.56 = 1,538.14/x
3. Step 3: Cross multiply
   2,780.14x = 3,836.56 × 1,538.14
4. Step 4: Simplify right side
   2,780.14x = 5,901,166.40
5. Step 5: Solve for x
   x = 5,901,166.40/2,780.14
6. Step 6: Final answer
   x = 2,122.61