Finding the Fourth Proportional to 10,584.24, 14,606.46 and 5,868.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.24 : 14,606.46 = 5,868.42 : x
2. Step 2: Convert to fraction form
   10,584.24/14,606.46 = 5,868.42/x
3. Step 3: Cross multiply
   10,584.24x = 14,606.46 × 5,868.42
4. Step 4: Simplify right side
   10,584.24x = 85,716,841.99
5. Step 5: Solve for x
   x = 85,716,841.99/10,584.24
6. Step 6: Final answer
   x = 8,098.54