Finding the Fourth Proportional to 9,492.29, 14,227.73 and 5,786.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,492.29 : 14,227.73 = 5,786.39 : x
2. Step 2: Convert to fraction form
   9,492.29/14,227.73 = 5,786.39/x
3. Step 3: Cross multiply
   9,492.29x = 14,227.73 × 5,786.39
4. Step 4: Simplify right side
   9,492.29x = 82,327,126.63
5. Step 5: Solve for x
   x = 82,327,126.63/9,492.29
6. Step 6: Final answer
   x = 8,673.05