Finding the Fourth Proportional to 3,105.32, 4,658.00 and 765.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.32 : 4,658.00 = 765.32 : x
2. Step 2: Convert to fraction form
   3,105.32/4,658.00 = 765.32/x
3. Step 3: Cross multiply
   3,105.32x = 4,658.00 × 765.32
4. Step 4: Simplify right side
   3,105.32x = 3,564,833.44
5. Step 5: Solve for x
   x = 3,564,833.44/3,105.32
6. Step 6: Final answer
   x = 1,147.98