Finding the Fourth Proportional to 9,684.84, 13,364.82 and 5,706.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.84 : 13,364.82 = 5,706.21 : x
2. Step 2: Convert to fraction form
   9,684.84/13,364.82 = 5,706.21/x
3. Step 3: Cross multiply
   9,684.84x = 13,364.82 × 5,706.21
4. Step 4: Simplify right side
   9,684.84x = 76,262,469.53
5. Step 5: Solve for x
   x = 76,262,469.53/9,684.84
6. Step 6: Final answer
   x = 7,874.42