Finding the Fourth Proportional to 1,945.27, 2,916.31 and 774.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.27 : 2,916.31 = 774.77 : x
2. Step 2: Convert to fraction form
   1,945.27/2,916.31 = 774.77/x
3. Step 3: Cross multiply
   1,945.27x = 2,916.31 × 774.77
4. Step 4: Simplify right side
   1,945.27x = 2,259,469.50
5. Step 5: Solve for x
   x = 2,259,469.50/1,945.27
6. Step 6: Final answer
   x = 1,161.52