Finding the Fourth Proportional to 1,262.89, 1,742.61 and 765.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.89 : 1,742.61 = 765.45 : x
2. Step 2: Convert to fraction form
   1,262.89/1,742.61 = 765.45/x
3. Step 3: Cross multiply
   1,262.89x = 1,742.61 × 765.45
4. Step 4: Simplify right side
   1,262.89x = 1,333,883.69
5. Step 5: Solve for x
   x = 1,333,883.69/1,262.89
6. Step 6: Final answer
   x = 1,056.21