Finding the Fourth Proportional to 2,513.78, 3,771.20 and 758.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.78 : 3,771.20 = 758.63 : x
2. Step 2: Convert to fraction form
   2,513.78/3,771.20 = 758.63/x
3. Step 3: Cross multiply
   2,513.78x = 3,771.20 × 758.63
4. Step 4: Simplify right side
   2,513.78x = 2,860,945.46
5. Step 5: Solve for x
   x = 2,860,945.46/2,513.78
6. Step 6: Final answer
   x = 1,138.10