Finding the Fourth Proportional to 3,493.41, 5,235.49 and 2,564.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,493.41 : 5,235.49 = 2,564.63 : x
2. Step 2: Convert to fraction form
   3,493.41/5,235.49 = 2,564.63/x
3. Step 3: Cross multiply
   3,493.41x = 5,235.49 × 2,564.63
4. Step 4: Simplify right side
   3,493.41x = 13,427,055.72
5. Step 5: Solve for x
   x = 13,427,055.72/3,493.41
6. Step 6: Final answer
   x = 3,843.54