Finding the Fourth Proportional to 10,282.17, 14,189.37 and 5,566.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.17 : 14,189.37 = 5,566.44 : x
2. Step 2: Convert to fraction form
   10,282.17/14,189.37 = 5,566.44/x
3. Step 3: Cross multiply
   10,282.17x = 14,189.37 × 5,566.44
4. Step 4: Simplify right side
   10,282.17x = 78,984,276.74
5. Step 5: Solve for x
   x = 78,984,276.74/10,282.17
6. Step 6: Final answer
   x = 7,681.67