Finding the Fourth Proportional to 1,540.41, 2,308.23 and 1,019.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.41 : 2,308.23 = 1,019.85 : x
2. Step 2: Convert to fraction form
   1,540.41/2,308.23 = 1,019.85/x
3. Step 3: Cross multiply
   1,540.41x = 2,308.23 × 1,019.85
4. Step 4: Simplify right side
   1,540.41x = 2,354,048.37
5. Step 5: Solve for x
   x = 2,354,048.37/1,540.41
6. Step 6: Final answer
   x = 1,528.20