Finding the Fourth Proportional to 1,302.06, 1,796.85 and 778.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.06 : 1,796.85 = 778.09 : x
2. Step 2: Convert to fraction form
   1,302.06/1,796.85 = 778.09/x
3. Step 3: Cross multiply
   1,302.06x = 1,796.85 × 778.09
4. Step 4: Simplify right side
   1,302.06x = 1,398,111.02
5. Step 5: Solve for x
   x = 1,398,111.02/1,302.06
6. Step 6: Final answer
   x = 1,073.77