Finding the Fourth Proportional to 10,499.22, 15,739.92 and 5,827.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.22 : 15,739.92 = 5,827.14 : x
2. Step 2: Convert to fraction form
   10,499.22/15,739.92 = 5,827.14/x
3. Step 3: Cross multiply
   10,499.22x = 15,739.92 × 5,827.14
4. Step 4: Simplify right side
   10,499.22x = 91,718,717.43
5. Step 5: Solve for x
   x = 91,718,717.43/10,499.22
6. Step 6: Final answer
   x = 8,735.76