Finding the Fourth Proportional to 10,282.10, 14,189.25 and 5,566.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.10 : 14,189.25 = 5,566.34 : x
2. Step 2: Convert to fraction form
   10,282.10/14,189.25 = 5,566.34/x
3. Step 3: Cross multiply
   10,282.10x = 14,189.25 × 5,566.34
4. Step 4: Simplify right side
   10,282.10x = 78,982,189.85
5. Step 5: Solve for x
   x = 78,982,189.85/10,282.10
6. Step 6: Final answer
   x = 7,681.52