Finding the Fourth Proportional to 10,302.67, 14,218.56 and 5,827.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.67 : 14,218.56 = 5,827.22 : x
2. Step 2: Convert to fraction form
   10,302.67/14,218.56 = 5,827.22/x
3. Step 3: Cross multiply
   10,302.67x = 14,218.56 × 5,827.22
4. Step 4: Simplify right side
   10,302.67x = 82,854,677.20
5. Step 5: Solve for x
   x = 82,854,677.20/10,302.67
6. Step 6: Final answer
   x = 8,042.06