Finding the Fourth Proportional to 2,578, 3,862.02 and 1,538.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,862.02 = 1,538.83 : x
2. Step 2: Convert to fraction form
   2,578/3,862.02 = 1,538.83/x
3. Step 3: Cross multiply
   2,578x = 3,862.02 × 1,538.83
4. Step 4: Simplify right side
   2,578x = 5,943,005.74
5. Step 5: Solve for x
   x = 5,943,005.74/2,578
6. Step 6: Final answer
   x = 2,305.28