Finding the Fourth Proportional to 10,302.25, 14,217.01 and 5,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.25 : 14,217.01 = 5,586.50 : x
2. Step 2: Convert to fraction form
   10,302.25/14,217.01 = 5,586.50/x
3. Step 3: Cross multiply
   10,302.25x = 14,217.01 × 5,586.50
4. Step 4: Simplify right side
   10,302.25x = 79,423,326.37
5. Step 5: Solve for x
   x = 79,423,326.37/10,302.25
6. Step 6: Final answer
   x = 7,709.32