Finding the Fourth Proportional to 10,367.67, 14,303.31 and 5,829.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,367.67 : 14,303.31 = 5,829.30 : x
2. Step 2: Convert to fraction form
   10,367.67/14,303.31 = 5,829.30/x
3. Step 3: Cross multiply
   10,367.67x = 14,303.31 × 5,829.30
4. Step 4: Simplify right side
   10,367.67x = 83,378,284.98
5. Step 5: Solve for x
   x = 83,378,284.98/10,367.67
6. Step 6: Final answer
   x = 8,042.14