Finding the Fourth Proportional to 2,598.59, 3,897.77 and 749.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.59 : 3,897.77 = 749.78 : x
2. Step 2: Convert to fraction form
   2,598.59/3,897.77 = 749.78/x
3. Step 3: Cross multiply
   2,598.59x = 3,897.77 × 749.78
4. Step 4: Simplify right side
   2,598.59x = 2,922,476.55
5. Step 5: Solve for x
   x = 2,922,476.55/2,598.59
6. Step 6: Final answer
   x = 1,124.64