Finding the Fourth Proportional to 2,531.78, 3,796.86 and 776.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.78 : 3,796.86 = 776.12 : x
2. Step 2: Convert to fraction form
   2,531.78/3,796.86 = 776.12/x
3. Step 3: Cross multiply
   2,531.78x = 3,796.86 × 776.12
4. Step 4: Simplify right side
   2,531.78x = 2,946,818.98
5. Step 5: Solve for x
   x = 2,946,818.98/2,531.78
6. Step 6: Final answer
   x = 1,163.93