Finding the Fourth Proportional to 2,598.14, 3,897.38 and 749.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.14 : 3,897.38 = 749.23 : x
2. Step 2: Convert to fraction form
   2,598.14/3,897.38 = 749.23/x
3. Step 3: Cross multiply
   2,598.14x = 3,897.38 × 749.23
4. Step 4: Simplify right side
   2,598.14x = 2,920,026.15
5. Step 5: Solve for x
   x = 2,920,026.15/2,598.14
6. Step 6: Final answer
   x = 1,123.89