Finding the Fourth Proportional to 10,282.02, 14,188.41 and 5,805.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.02 : 14,188.41 = 5,805.15 : x
2. Step 2: Convert to fraction form
   10,282.02/14,188.41 = 5,805.15/x
3. Step 3: Cross multiply
   10,282.02x = 14,188.41 × 5,805.15
4. Step 4: Simplify right side
   10,282.02x = 82,365,848.31
5. Step 5: Solve for x
   x = 82,365,848.31/10,282.02
6. Step 6: Final answer
   x = 8,010.67