Finding the Fourth Proportional to 1,293.59, 1,784.88 and 769.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.59 : 1,784.88 = 769.52 : x
2. Step 2: Convert to fraction form
   1,293.59/1,784.88 = 769.52/x
3. Step 3: Cross multiply
   1,293.59x = 1,784.88 × 769.52
4. Step 4: Simplify right side
   1,293.59x = 1,373,500.86
5. Step 5: Solve for x
   x = 1,373,500.86/1,293.59
6. Step 6: Final answer
   x = 1,061.77