Finding the Fourth Proportional to 1,262.89, 1,742.91 and 765.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.89 : 1,742.91 = 765.88 : x
2. Step 2: Convert to fraction form
   1,262.89/1,742.91 = 765.88/x
3. Step 3: Cross multiply
   1,262.89x = 1,742.91 × 765.88
4. Step 4: Simplify right side
   1,262.89x = 1,334,847.37
5. Step 5: Solve for x
   x = 1,334,847.37/1,262.89
6. Step 6: Final answer
   x = 1,056.98