Finding the Fourth Proportional to 10,284.33, 14,191.68 and 5,746.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,284.33 : 14,191.68 = 5,746.71 : x
2. Step 2: Convert to fraction form
   10,284.33/14,191.68 = 5,746.71/x
3. Step 3: Cross multiply
   10,284.33x = 14,191.68 × 5,746.71
4. Step 4: Simplify right side
   10,284.33x = 81,555,469.37
5. Step 5: Solve for x
   x = 81,555,469.37/10,284.33
6. Step 6: Final answer
   x = 7,930.07