Finding the Fourth Proportional to 1,945.76, 2,916.78 and 776.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.76 : 2,916.78 = 776.48 : x
2. Step 2: Convert to fraction form
   1,945.76/2,916.78 = 776.48/x
3. Step 3: Cross multiply
   1,945.76x = 2,916.78 × 776.48
4. Step 4: Simplify right side
   1,945.76x = 2,264,821.33
5. Step 5: Solve for x
   x = 2,264,821.33/1,945.76
6. Step 6: Final answer
   x = 1,163.98