Finding the Fourth Proportional to 2,546.84, 3,820.16 and 697.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.84 : 3,820.16 = 697.82 : x
2. Step 2: Convert to fraction form
   2,546.84/3,820.16 = 697.82/x
3. Step 3: Cross multiply
   2,546.84x = 3,820.16 × 697.82
4. Step 4: Simplify right side
   2,546.84x = 2,665,766.69
5. Step 5: Solve for x
   x = 2,665,766.69/2,546.84
6. Step 6: Final answer
   x = 1,046.69