Finding the Fourth Proportional to 10,282.20, 14,189.42 and 5,566.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.20 : 14,189.42 = 5,566.48 : x
2. Step 2: Convert to fraction form
   10,282.20/14,189.42 = 5,566.48/x
3. Step 3: Cross multiply
   10,282.20x = 14,189.42 × 5,566.48
4. Step 4: Simplify right side
   10,282.20x = 78,985,122.64
5. Step 5: Solve for x
   x = 78,985,122.64/10,282.20
6. Step 6: Final answer
   x = 7,681.73