Finding the Fourth Proportional to 10,282.44, 14,189.70 and 5,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.44 : 14,189.70 = 5,566.69 : x
2. Step 2: Convert to fraction form
   10,282.44/14,189.70 = 5,566.69/x
3. Step 3: Cross multiply
   10,282.44x = 14,189.70 × 5,566.69
4. Step 4: Simplify right side
   10,282.44x = 78,989,625.62
5. Step 5: Solve for x
   x = 78,989,625.62/10,282.44
6. Step 6: Final answer
   x = 7,681.99