Finding the Fourth Proportional to 2,642.56, 3,968.48 and 2,538.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.56 : 3,968.48 = 2,538.08 : x
2. Step 2: Convert to fraction form
   2,642.56/3,968.48 = 2,538.08/x
3. Step 3: Cross multiply
   2,642.56x = 3,968.48 × 2,538.08
4. Step 4: Simplify right side
   2,642.56x = 10,072,319.72
5. Step 5: Solve for x
   x = 10,072,319.72/2,642.56
6. Step 6: Final answer
   x = 3,811.58