Finding the Fourth Proportional to 796.24, 1,099.80 and 770.72

Step by Step Solution

1. Step 1: Write the proportion equation
   796.24 : 1,099.80 = 770.72 : x
2. Step 2: Convert to fraction form
   796.24/1,099.80 = 770.72/x
3. Step 3: Cross multiply
   796.24x = 1,099.80 × 770.72
4. Step 4: Simplify right side
   796.24x = 847,637.86
5. Step 5: Solve for x
   x = 847,637.86/796.24
6. Step 6: Final answer
   x = 1,064.55