Finding the Fourth Proportional to 10,540.31, 14,544.38 and 5,824.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.31 : 14,544.38 = 5,824.31 : x
2. Step 2: Convert to fraction form
   10,540.31/14,544.38 = 5,824.31/x
3. Step 3: Cross multiply
   10,540.31x = 14,544.38 × 5,824.31
4. Step 4: Simplify right side
   10,540.31x = 84,710,919.72
5. Step 5: Solve for x
   x = 84,710,919.72/10,540.31
6. Step 6: Final answer
   x = 8,036.86