Finding the Fourth Proportional to 1,293.77, 1,785.42 and 770.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.77 : 1,785.42 = 770.10 : x
2. Step 2: Convert to fraction form
   1,293.77/1,785.42 = 770.10/x
3. Step 3: Cross multiply
   1,293.77x = 1,785.42 × 770.10
4. Step 4: Simplify right side
   1,293.77x = 1,374,951.94
5. Step 5: Solve for x
   x = 1,374,951.94/1,293.77
6. Step 6: Final answer
   x = 1,062.75