Finding the Fourth Proportional to 2,642.06, 3,959.42 and 2,563.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.06 : 3,959.42 = 2,563.22 : x
2. Step 2: Convert to fraction form
   2,642.06/3,959.42 = 2,563.22/x
3. Step 3: Cross multiply
   2,642.06x = 3,959.42 × 2,563.22
4. Step 4: Simplify right side
   2,642.06x = 10,148,864.53
5. Step 5: Solve for x
   x = 10,148,864.53/2,642.06
6. Step 6: Final answer
   x = 3,841.27