Finding the Fourth Proportional to 2,597.50, 3,583.36 and 1,534.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.50 : 3,583.36 = 1,534.58 : x
2. Step 2: Convert to fraction form
   2,597.50/3,583.36 = 1,534.58/x
3. Step 3: Cross multiply
   2,597.50x = 3,583.36 × 1,534.58
4. Step 4: Simplify right side
   2,597.50x = 5,498,952.59
5. Step 5: Solve for x
   x = 5,498,952.59/2,597.50
6. Step 6: Final answer
   x = 2,117.02