Finding the Fourth Proportional to 10,300.37, 14,215.23 and 5,824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.37 : 14,215.23 = 5,824.58 : x
2. Step 2: Convert to fraction form
   10,300.37/14,215.23 = 5,824.58/x
3. Step 3: Cross multiply
   10,300.37x = 14,215.23 × 5,824.58
4. Step 4: Simplify right side
   10,300.37x = 82,797,673.28
5. Step 5: Solve for x
   x = 82,797,673.28/10,300.37
6. Step 6: Final answer
   x = 8,038.32