Finding the Fourth Proportional to 1,301.94, 1,796.72 and 778.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.94 : 1,796.72 = 778.14 : x
2. Step 2: Convert to fraction form
   1,301.94/1,796.72 = 778.14/x
3. Step 3: Cross multiply
   1,301.94x = 1,796.72 × 778.14
4. Step 4: Simplify right side
   1,301.94x = 1,398,095.81
5. Step 5: Solve for x
   x = 1,398,095.81/1,301.94
6. Step 6: Final answer
   x = 1,073.86