Finding the Fourth Proportional to 10,287.84, 14,196.96 and 5,812.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,287.84 : 14,196.96 = 5,812.06 : x
2. Step 2: Convert to fraction form
   10,287.84/14,196.96 = 5,812.06/x
3. Step 3: Cross multiply
   10,287.84x = 14,196.96 × 5,812.06
4. Step 4: Simplify right side
   10,287.84x = 82,513,583.34
5. Step 5: Solve for x
   x = 82,513,583.34/10,287.84
6. Step 6: Final answer
   x = 8,020.50