Finding the Fourth Proportional to 2,646.72, 3,641.76 and 2,578.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.72 : 3,641.76 = 2,578.88 : x
2. Step 2: Convert to fraction form
   2,646.72/3,641.76 = 2,578.88/x
3. Step 3: Cross multiply
   2,646.72x = 3,641.76 × 2,578.88
4. Step 4: Simplify right side
   2,646.72x = 9,391,662.03
5. Step 5: Solve for x
   x = 9,391,662.03/2,646.72
6. Step 6: Final answer
   x = 3,548.42