Finding the Fourth Proportional to 10,584.75, 14,606.30 and 5,869.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.75 : 14,606.30 = 5,869.03 : x
2. Step 2: Convert to fraction form
   10,584.75/14,606.30 = 5,869.03/x
3. Step 3: Cross multiply
   10,584.75x = 14,606.30 × 5,869.03
4. Step 4: Simplify right side
   10,584.75x = 85,724,812.89
5. Step 5: Solve for x
   x = 85,724,812.89/10,584.75
6. Step 6: Final answer
   x = 8,098.90