Finding the Fourth Proportional to 1,768.06, 2,650.64 and 780.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,768.06 : 2,650.64 = 780.17 : x
2. Step 2: Convert to fraction form
   1,768.06/2,650.64 = 780.17/x
3. Step 3: Cross multiply
   1,768.06x = 2,650.64 × 780.17
4. Step 4: Simplify right side
   1,768.06x = 2,067,945.91
5. Step 5: Solve for x
   x = 2,067,945.91/1,768.06
6. Step 6: Final answer
   x = 1,169.62