Finding the Fourth Proportional to 3,575.89, 5,365.71 and 2,596.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,575.89 : 5,365.71 = 2,596.80 : x
2. Step 2: Convert to fraction form
   3,575.89/5,365.71 = 2,596.80/x
3. Step 3: Cross multiply
   3,575.89x = 5,365.71 × 2,596.80
4. Step 4: Simplify right side
   3,575.89x = 13,933,647.17
5. Step 5: Solve for x
   x = 13,933,647.17/3,575.89
6. Step 6: Final answer
   x = 3,896.55