Finding the Fourth Proportional to 10,282, 14,189.16 and 5,566.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 14,189.16 = 5,566.32 : x
2. Step 2: Convert to fraction form
   10,282/14,189.16 = 5,566.32/x
3. Step 3: Cross multiply
   10,282x = 14,189.16 × 5,566.32
4. Step 4: Simplify right side
   10,282x = 78,981,405.09
5. Step 5: Solve for x
   x = 78,981,405.09/10,282
6. Step 6: Final answer
   x = 7,681.52