Finding the Fourth Proportional to 3,111.76, 4,667.59 and 771.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.76 : 4,667.59 = 771.77 : x
2. Step 2: Convert to fraction form
   3,111.76/4,667.59 = 771.77/x
3. Step 3: Cross multiply
   3,111.76x = 4,667.59 × 771.77
4. Step 4: Simplify right side
   3,111.76x = 3,602,315.67
5. Step 5: Solve for x
   x = 3,602,315.67/3,111.76
6. Step 6: Final answer
   x = 1,157.65