Finding the Fourth Proportional to 10,300.74, 14,215.82 and 5,824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.74 : 14,215.82 = 5,824.58 : x
2. Step 2: Convert to fraction form
   10,300.74/14,215.82 = 5,824.58/x
3. Step 3: Cross multiply
   10,300.74x = 14,215.82 × 5,824.58
4. Step 4: Simplify right side
   10,300.74x = 82,801,187.27
5. Step 5: Solve for x
   x = 82,801,187.27/10,300.74
6. Step 6: Final answer
   x = 8,038.37