Finding the Fourth Proportional to 2,851.54, 4,277.61 and 771.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.54 : 4,277.61 = 771.56 : x
2. Step 2: Convert to fraction form
   2,851.54/4,277.61 = 771.56/x
3. Step 3: Cross multiply
   2,851.54x = 4,277.61 × 771.56
4. Step 4: Simplify right side
   2,851.54x = 3,300,432.77
5. Step 5: Solve for x
   x = 3,300,432.77/2,851.54
6. Step 6: Final answer
   x = 1,157.42