Finding the Fourth Proportional to 1,262.88, 1,742.78 and 765.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.88 : 1,742.78 = 765.32 : x
2. Step 2: Convert to fraction form
   1,262.88/1,742.78 = 765.32/x
3. Step 3: Cross multiply
   1,262.88x = 1,742.78 × 765.32
4. Step 4: Simplify right side
   1,262.88x = 1,333,784.39
5. Step 5: Solve for x
   x = 1,333,784.39/1,262.88
6. Step 6: Final answer
   x = 1,056.14