Finding the Fourth Proportional to 10,583.28, 15,843.69 and 7,822.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583.28 : 15,843.69 = 7,822.31 : x
2. Step 2: Convert to fraction form
   10,583.28/15,843.69 = 7,822.31/x
3. Step 3: Cross multiply
   10,583.28x = 15,843.69 × 7,822.31
4. Step 4: Simplify right side
   10,583.28x = 123,934,175.51
5. Step 5: Solve for x
   x = 123,934,175.51/10,583.28
6. Step 6: Final answer
   x = 11,710.37