Finding the Fourth Proportional to 2,515.41, 3,769.05 and 1,538.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,515.41 : 3,769.05 = 1,538.55 : x
2. Step 2: Convert to fraction form
   2,515.41/3,769.05 = 1,538.55/x
3. Step 3: Cross multiply
   2,515.41x = 3,769.05 × 1,538.55
4. Step 4: Simplify right side
   2,515.41x = 5,798,871.88
5. Step 5: Solve for x
   x = 5,798,871.88/2,515.41
6. Step 6: Final answer
   x = 2,305.34