Finding the Fourth Proportional to 769.84, 1,061.82 and 489.82

Step by Step Solution

1. Step 1: Write the proportion equation
   769.84 : 1,061.82 = 489.82 : x
2. Step 2: Convert to fraction form
   769.84/1,061.82 = 489.82/x
3. Step 3: Cross multiply
   769.84x = 1,061.82 × 489.82
4. Step 4: Simplify right side
   769.84x = 520,100.67
5. Step 5: Solve for x
   x = 520,100.67/769.84
6. Step 6: Final answer
   x = 675.60