Finding the Fourth Proportional to 2,311.24, 3,463.38 and 1,540.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,311.24 : 3,463.38 = 1,540.12 : x
2. Step 2: Convert to fraction form
   2,311.24/3,463.38 = 1,540.12/x
3. Step 3: Cross multiply
   2,311.24x = 3,463.38 × 1,540.12
4. Step 4: Simplify right side
   2,311.24x = 5,334,020.81
5. Step 5: Solve for x
   x = 5,334,020.81/2,311.24
6. Step 6: Final answer
   x = 2,307.86