Finding the Fourth Proportional to 2,782.69, 3,840.24 and 1,540.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.69 : 3,840.24 = 1,540.69 : x
2. Step 2: Convert to fraction form
   2,782.69/3,840.24 = 1,540.69/x
3. Step 3: Cross multiply
   2,782.69x = 3,840.24 × 1,540.69
4. Step 4: Simplify right side
   2,782.69x = 5,916,615.54
5. Step 5: Solve for x
   x = 5,916,615.54/2,782.69
6. Step 6: Final answer
   x = 2,126.22