Finding the Fourth Proportional to 1,300.82, 1,794.98 and 776.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.82 : 1,794.98 = 776.76 : x
2. Step 2: Convert to fraction form
   1,300.82/1,794.98 = 776.76/x
3. Step 3: Cross multiply
   1,300.82x = 1,794.98 × 776.76
4. Step 4: Simplify right side
   1,300.82x = 1,394,268.66
5. Step 5: Solve for x
   x = 1,394,268.66/1,300.82
6. Step 6: Final answer
   x = 1,071.84