Finding the Fourth Proportional to 10,838.24, 14,958.32 and 7,823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.24 : 14,958.32 = 7,823.31 : x
2. Step 2: Convert to fraction form
   10,838.24/14,958.32 = 7,823.31/x
3. Step 3: Cross multiply
   10,838.24x = 14,958.32 × 7,823.31
4. Step 4: Simplify right side
   10,838.24x = 117,023,535.32
5. Step 5: Solve for x
   x = 117,023,535.32/10,838.24
6. Step 6: Final answer
   x = 10,797.29