Finding the Fourth Proportional to 2,797.56, 3,860.64 and 1,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,797.56 : 3,860.64 = 1,538.69 : x
2. Step 2: Convert to fraction form
   2,797.56/3,860.64 = 1,538.69/x
3. Step 3: Cross multiply
   2,797.56x = 3,860.64 × 1,538.69
4. Step 4: Simplify right side
   2,797.56x = 5,940,320.47
5. Step 5: Solve for x
   x = 5,940,320.47/2,797.56
6. Step 6: Final answer
   x = 2,123.40