Finding the Fourth Proportional to 2,597.86, 3,584.20 and 1,535.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.86 : 3,584.20 = 1,535.65 : x
2. Step 2: Convert to fraction form
   2,597.86/3,584.20 = 1,535.65/x
3. Step 3: Cross multiply
   2,597.86x = 3,584.20 × 1,535.65
4. Step 4: Simplify right side
   2,597.86x = 5,504,076.73
5. Step 5: Solve for x
   x = 5,504,076.73/2,597.86
6. Step 6: Final answer
   x = 2,118.70