Finding the Fourth Proportional to 10,584.86, 14,607.69 and 5,869.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.86 : 14,607.69 = 5,869.04 : x
2. Step 2: Convert to fraction form
   10,584.86/14,607.69 = 5,869.04/x
3. Step 3: Cross multiply
   10,584.86x = 14,607.69 × 5,869.04
4. Step 4: Simplify right side
   10,584.86x = 85,733,116.92
5. Step 5: Solve for x
   x = 85,733,116.92/10,584.86
6. Step 6: Final answer
   x = 8,099.60