Finding the Fourth Proportional to 1,297.41, 1,945.98 and 517.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.41 : 1,945.98 = 517.74 : x
2. Step 2: Convert to fraction form
   1,297.41/1,945.98 = 517.74/x
3. Step 3: Cross multiply
   1,297.41x = 1,945.98 × 517.74
4. Step 4: Simplify right side
   1,297.41x = 1,007,511.69
5. Step 5: Solve for x
   x = 1,007,511.69/1,297.41
6. Step 6: Final answer
   x = 776.56