Finding the Fourth Proportional to 10,584.40, 14,606.84 and 5,868.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.40 : 14,606.84 = 5,868.76 : x
2. Step 2: Convert to fraction form
   10,584.40/14,606.84 = 5,868.76/x
3. Step 3: Cross multiply
   10,584.40x = 14,606.84 × 5,868.76
4. Step 4: Simplify right side
   10,584.40x = 85,724,038.32
5. Step 5: Solve for x
   x = 85,724,038.32/10,584.40
6. Step 6: Final answer
   x = 8,099.09