Finding the Fourth Proportional to 1,262.82, 1,742.81 and 765.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.82 : 1,742.81 = 765.60 : x
2. Step 2: Convert to fraction form
   1,262.82/1,742.81 = 765.60/x
3. Step 3: Cross multiply
   1,262.82x = 1,742.81 × 765.60
4. Step 4: Simplify right side
   1,262.82x = 1,334,295.34
5. Step 5: Solve for x
   x = 1,334,295.34/1,262.82
6. Step 6: Final answer
   x = 1,056.60