Finding the Fourth Proportional to 10,302.31, 14,217.06 and 5,586.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.31 : 14,217.06 = 5,586.58 : x
2. Step 2: Convert to fraction form
   10,302.31/14,217.06 = 5,586.58/x
3. Step 3: Cross multiply
   10,302.31x = 14,217.06 × 5,586.58
4. Step 4: Simplify right side
   10,302.31x = 79,424,743.05
5. Step 5: Solve for x
   x = 79,424,743.05/10,302.31
6. Step 6: Final answer
   x = 7,709.41