Finding the Fourth Proportional to 1,301.49, 1,796.31 and 770.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.49 : 1,796.31 = 770.49 : x
2. Step 2: Convert to fraction form
   1,301.49/1,796.31 = 770.49/x
3. Step 3: Cross multiply
   1,301.49x = 1,796.31 × 770.49
4. Step 4: Simplify right side
   1,301.49x = 1,384,038.89
5. Step 5: Solve for x
   x = 1,384,038.89/1,301.49
6. Step 6: Final answer
   x = 1,063.43