Finding the Fourth Proportional to 10,839.24, 14,959.70 and 7,824.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,839.24 : 14,959.70 = 7,824.31 : x
2. Step 2: Convert to fraction form
   10,839.24/14,959.70 = 7,824.31/x
3. Step 3: Cross multiply
   10,839.24x = 14,959.70 × 7,824.31
4. Step 4: Simplify right side
   10,839.24x = 117,049,330.31
5. Step 5: Solve for x
   x = 117,049,330.31/10,839.24
6. Step 6: Final answer
   x = 10,798.67