Finding the Fourth Proportional to 2,597.82, 3,897.42 and 749.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.82 : 3,897.42 = 749.09 : x
2. Step 2: Convert to fraction form
   2,597.82/3,897.42 = 749.09/x
3. Step 3: Cross multiply
   2,597.82x = 3,897.42 × 749.09
4. Step 4: Simplify right side
   2,597.82x = 2,919,497.88
5. Step 5: Solve for x
   x = 2,919,497.88/2,597.82
6. Step 6: Final answer
   x = 1,123.83