Finding the Fourth Proportional to 10,282, 14,189.16 and 5,866

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 14,189.16 = 5,866 : x
2. Step 2: Convert to fraction form
   10,282/14,189.16 = 5,866/x
3. Step 3: Cross multiply
   10,282x = 14,189.16 × 5,866
4. Step 4: Simplify right side
   10,282x = 83,233,612.56
5. Step 5: Solve for x
   x = 83,233,612.56/10,282
6. Step 6: Final answer
   x = 8,095.08