Finding the Fourth Proportional to 10,282.29, 14,189.55 and 5,566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.29 : 14,189.55 = 5,566.56 : x
2. Step 2: Convert to fraction form
   10,282.29/14,189.55 = 5,566.56/x
3. Step 3: Cross multiply
   10,282.29x = 14,189.55 × 5,566.56
4. Step 4: Simplify right side
   10,282.29x = 78,986,981.45
5. Step 5: Solve for x
   x = 78,986,981.45/10,282.29
6. Step 6: Final answer
   x = 7,681.85