Finding the Fourth Proportional to 1,132.72, 1,698.77 and 769.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132.72 : 1,698.77 = 769.74 : x
2. Step 2: Convert to fraction form
   1,132.72/1,698.77 = 769.74/x
3. Step 3: Cross multiply
   1,132.72x = 1,698.77 × 769.74
4. Step 4: Simplify right side
   1,132.72x = 1,307,598.88
5. Step 5: Solve for x
   x = 1,307,598.88/1,132.72
6. Step 6: Final answer
   x = 1,154.39