Finding the Fourth Proportional to 10,282.78, 14,191.50 and 5,806.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.78 : 14,191.50 = 5,806.72 : x
2. Step 2: Convert to fraction form
   10,282.78/14,191.50 = 5,806.72/x
3. Step 3: Cross multiply
   10,282.78x = 14,191.50 × 5,806.72
4. Step 4: Simplify right side
   10,282.78x = 82,406,066.88
5. Step 5: Solve for x
   x = 82,406,066.88/10,282.78
6. Step 6: Final answer
   x = 8,013.99