Finding the Fourth Proportional to 10,302.51, 14,217.39 and 5,586.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.51 : 14,217.39 = 5,586.78 : x
2. Step 2: Convert to fraction form
   10,302.51/14,217.39 = 5,586.78/x
3. Step 3: Cross multiply
   10,302.51x = 14,217.39 × 5,586.78
4. Step 4: Simplify right side
   10,302.51x = 79,429,430.10
5. Step 5: Solve for x
   x = 79,429,430.10/10,302.51
6. Step 6: Final answer
   x = 7,709.72