Finding the Fourth Proportional to 1,297.09, 1,789.77 and 766.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.09 : 1,789.77 = 766.42 : x
2. Step 2: Convert to fraction form
   1,297.09/1,789.77 = 766.42/x
3. Step 3: Cross multiply
   1,297.09x = 1,789.77 × 766.42
4. Step 4: Simplify right side
   1,297.09x = 1,371,715.52
5. Step 5: Solve for x
   x = 1,371,715.52/1,297.09
6. Step 6: Final answer
   x = 1,057.53