Finding the Fourth Proportional to 765.50, 1,150.82 and 613.10

Step by Step Solution

1. Step 1: Write the proportion equation
   765.50 : 1,150.82 = 613.10 : x
2. Step 2: Convert to fraction form
   765.50/1,150.82 = 613.10/x
3. Step 3: Cross multiply
   765.50x = 1,150.82 × 613.10
4. Step 4: Simplify right side
   765.50x = 705,572.15
5. Step 5: Solve for x
   x = 705,572.15/765.50
6. Step 6: Final answer
   x = 921.71