Finding the Fourth Proportional to 1,301.76, 1,796.16 and 770.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.76 : 1,796.16 = 770.56 : x
2. Step 2: Convert to fraction form
   1,301.76/1,796.16 = 770.56/x
3. Step 3: Cross multiply
   1,301.76x = 1,796.16 × 770.56
4. Step 4: Simplify right side
   1,301.76x = 1,384,049.05
5. Step 5: Solve for x
   x = 1,384,049.05/1,301.76
6. Step 6: Final answer
   x = 1,063.21