Finding the Fourth Proportional to 1,301.85, 1,796.96 and 770.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.85 : 1,796.96 = 770.69 : x
2. Step 2: Convert to fraction form
   1,301.85/1,796.96 = 770.69/x
3. Step 3: Cross multiply
   1,301.85x = 1,796.96 × 770.69
4. Step 4: Simplify right side
   1,301.85x = 1,384,905.52
5. Step 5: Solve for x
   x = 1,384,905.52/1,301.85
6. Step 6: Final answer
   x = 1,063.80