Finding the Fourth Proportional to 1,176.72, 1,764.51 and 689.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.72 : 1,764.51 = 689.94 : x
2. Step 2: Convert to fraction form
   1,176.72/1,764.51 = 689.94/x
3. Step 3: Cross multiply
   1,176.72x = 1,764.51 × 689.94
4. Step 4: Simplify right side
   1,176.72x = 1,217,406.03
5. Step 5: Solve for x
   x = 1,217,406.03/1,176.72
6. Step 6: Final answer
   x = 1,034.58