Finding the Fourth Proportional to 10,707.65, 14,776.56 and 5,862.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,707.65 : 14,776.56 = 5,862.30 : x
2. Step 2: Convert to fraction form
   10,707.65/14,776.56 = 5,862.30/x
3. Step 3: Cross multiply
   10,707.65x = 14,776.56 × 5,862.30
4. Step 4: Simplify right side
   10,707.65x = 86,624,627.69
5. Step 5: Solve for x
   x = 86,624,627.69/10,707.65
6. Step 6: Final answer
   x = 8,089.98