Finding the Fourth Proportional to 1,262.74, 1,742.74 and 765.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.74 : 1,742.74 = 765.37 : x
2. Step 2: Convert to fraction form
   1,262.74/1,742.74 = 765.37/x
3. Step 3: Cross multiply
   1,262.74x = 1,742.74 × 765.37
4. Step 4: Simplify right side
   1,262.74x = 1,333,840.91
5. Step 5: Solve for x
   x = 1,333,840.91/1,262.74
6. Step 6: Final answer
   x = 1,056.31