Finding the Fourth Proportional to 2,597.33, 3,584.00 and 1,462.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.33 : 3,584.00 = 1,462.97 : x
2. Step 2: Convert to fraction form
   2,597.33/3,584.00 = 1,462.97/x
3. Step 3: Cross multiply
   2,597.33x = 3,584.00 × 1,462.97
4. Step 4: Simplify right side
   2,597.33x = 5,243,259.25
5. Step 5: Solve for x
   x = 5,243,259.25/2,597.33
6. Step 6: Final answer
   x = 2,018.72