Finding the Fourth Proportional to 10,301.50, 14,214.45 and 5,823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.50 : 14,214.45 = 5,823.82 : x
2. Step 2: Convert to fraction form
   10,301.50/14,214.45 = 5,823.82/x
3. Step 3: Cross multiply
   10,301.50x = 14,214.45 × 5,823.82
4. Step 4: Simplify right side
   10,301.50x = 82,782,398.20
5. Step 5: Solve for x
   x = 82,782,398.20/10,301.50
6. Step 6: Final answer
   x = 8,035.96