Finding the Fourth Proportional to 2,597.61, 3,896.55 and 1,298.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.61 : 3,896.55 = 1,298.64 : x
2. Step 2: Convert to fraction form
   2,597.61/3,896.55 = 1,298.64/x
3. Step 3: Cross multiply
   2,597.61x = 3,896.55 × 1,298.64
4. Step 4: Simplify right side
   2,597.61x = 5,060,215.69
5. Step 5: Solve for x
   x = 5,060,215.69/2,597.61
6. Step 6: Final answer
   x = 1,948.03