Finding the Fourth Proportional to 796.53, 1,095.81 and 778.10

Step by Step Solution

1. Step 1: Write the proportion equation
   796.53 : 1,095.81 = 778.10 : x
2. Step 2: Convert to fraction form
   796.53/1,095.81 = 778.10/x
3. Step 3: Cross multiply
   796.53x = 1,095.81 × 778.10
4. Step 4: Simplify right side
   796.53x = 852,649.76
5. Step 5: Solve for x
   x = 852,649.76/796.53
6. Step 6: Final answer
   x = 1,070.46