Finding the Fourth Proportional to 10,501.62, 14,492.24 and 5,786.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.62 : 14,492.24 = 5,786.22 : x
2. Step 2: Convert to fraction form
   10,501.62/14,492.24 = 5,786.22/x
3. Step 3: Cross multiply
   10,501.62x = 14,492.24 × 5,786.22
4. Step 4: Simplify right side
   10,501.62x = 83,855,288.93
5. Step 5: Solve for x
   x = 83,855,288.93/10,501.62
6. Step 6: Final answer
   x = 7,984.99