Finding the Fourth Proportional to 10,584.12, 14,606.82 and 5,868.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.12 : 14,606.82 = 5,868.84 : x
2. Step 2: Convert to fraction form
   10,584.12/14,606.82 = 5,868.84/x
3. Step 3: Cross multiply
   10,584.12x = 14,606.82 × 5,868.84
4. Step 4: Simplify right side
   10,584.12x = 85,725,089.49
5. Step 5: Solve for x
   x = 85,725,089.49/10,584.12
6. Step 6: Final answer
   x = 8,099.41