Finding the Fourth Proportional to 2,363.81, 3,538.42 and 1,540.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,363.81 : 3,538.42 = 1,540.31 : x
2. Step 2: Convert to fraction form
   2,363.81/3,538.42 = 1,540.31/x
3. Step 3: Cross multiply
   2,363.81x = 3,538.42 × 1,540.31
4. Step 4: Simplify right side
   2,363.81x = 5,450,242.17
5. Step 5: Solve for x
   x = 5,450,242.17/2,363.81
6. Step 6: Final answer
   x = 2,305.71