Finding the Fourth Proportional to 2,780.94, 3,837.71 and 1,538.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780.94 : 3,837.71 = 1,538.94 : x
2. Step 2: Convert to fraction form
   2,780.94/3,837.71 = 1,538.94/x
3. Step 3: Cross multiply
   2,780.94x = 3,837.71 × 1,538.94
4. Step 4: Simplify right side
   2,780.94x = 5,905,997.73
5. Step 5: Solve for x
   x = 5,905,997.73/2,780.94
6. Step 6: Final answer
   x = 2,123.74