Finding the Fourth Proportional to 1,262.50, 1,741.98 and 765.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.50 : 1,741.98 = 765.04 : x
2. Step 2: Convert to fraction form
   1,262.50/1,741.98 = 765.04/x
3. Step 3: Cross multiply
   1,262.50x = 1,741.98 × 765.04
4. Step 4: Simplify right side
   1,262.50x = 1,332,684.38
5. Step 5: Solve for x
   x = 1,332,684.38/1,262.50
6. Step 6: Final answer
   x = 1,055.59