Finding the Fourth Proportional to 10,302.34, 14,217.24 and 5,586.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.34 : 14,217.24 = 5,586.62 : x
2. Step 2: Convert to fraction form
   10,302.34/14,217.24 = 5,586.62/x
3. Step 3: Cross multiply
   10,302.34x = 14,217.24 × 5,586.62
4. Step 4: Simplify right side
   10,302.34x = 79,426,317.33
5. Step 5: Solve for x
   x = 79,426,317.33/10,302.34
6. Step 6: Final answer
   x = 7,709.54