Finding the Fourth Proportional to 1,302.16, 1,796.69 and 770.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.16 : 1,796.69 = 770.78 : x
2. Step 2: Convert to fraction form
   1,302.16/1,796.69 = 770.78/x
3. Step 3: Cross multiply
   1,302.16x = 1,796.69 × 770.78
4. Step 4: Simplify right side
   1,302.16x = 1,384,850.11
5. Step 5: Solve for x
   x = 1,384,850.11/1,302.16
6. Step 6: Final answer
   x = 1,063.50