Finding the Fourth Proportional to 10,302.16, 14,216.82 and 5,586.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.16 : 14,216.82 = 5,586.40 : x
2. Step 2: Convert to fraction form
   10,302.16/14,216.82 = 5,586.40/x
3. Step 3: Cross multiply
   10,302.16x = 14,216.82 × 5,586.40
4. Step 4: Simplify right side
   10,302.16x = 79,420,843.25
5. Step 5: Solve for x
   x = 79,420,843.25/10,302.16
6. Step 6: Final answer
   x = 7,709.14