Finding the Fourth Proportional to 764.52, 1,055.43 and 689.82

Step by Step Solution

1. Step 1: Write the proportion equation
   764.52 : 1,055.43 = 689.82 : x
2. Step 2: Convert to fraction form
   764.52/1,055.43 = 689.82/x
3. Step 3: Cross multiply
   764.52x = 1,055.43 × 689.82
4. Step 4: Simplify right side
   764.52x = 728,056.72
5. Step 5: Solve for x
   x = 728,056.72/764.52
6. Step 6: Final answer
   x = 952.31