Finding the Fourth Proportional to 1,309.82, 1,807.54 and 778.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.82 : 1,807.54 = 778.96 : x
2. Step 2: Convert to fraction form
   1,309.82/1,807.54 = 778.96/x
3. Step 3: Cross multiply
   1,309.82x = 1,807.54 × 778.96
4. Step 4: Simplify right side
   1,309.82x = 1,407,997.46
5. Step 5: Solve for x
   x = 1,407,997.46/1,309.82
6. Step 6: Final answer
   x = 1,074.96