Finding the Fourth Proportional to 1,301.73, 1,796.42 and 778.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.73 : 1,796.42 = 778.07 : x
2. Step 2: Convert to fraction form
   1,301.73/1,796.42 = 778.07/x
3. Step 3: Cross multiply
   1,301.73x = 1,796.42 × 778.07
4. Step 4: Simplify right side
   1,301.73x = 1,397,733.47
5. Step 5: Solve for x
   x = 1,397,733.47/1,301.73
6. Step 6: Final answer
   x = 1,073.75