Finding the Fourth Proportional to 1,262.86, 1,742.32 and 765.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.86 : 1,742.32 = 765.30 : x
2. Step 2: Convert to fraction form
   1,262.86/1,742.32 = 765.30/x
3. Step 3: Cross multiply
   1,262.86x = 1,742.32 × 765.30
4. Step 4: Simplify right side
   1,262.86x = 1,333,397.50
5. Step 5: Solve for x
   x = 1,333,397.50/1,262.86
6. Step 6: Final answer
   x = 1,055.86