Finding the Fourth Proportional to 10,305.25, 14,221.25 and 5,828.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,305.25 : 14,221.25 = 5,828.91 : x
2. Step 2: Convert to fraction form
   10,305.25/14,221.25 = 5,828.91/x
3. Step 3: Cross multiply
   10,305.25x = 14,221.25 × 5,828.91
4. Step 4: Simplify right side
   10,305.25x = 82,894,300.66
5. Step 5: Solve for x
   x = 82,894,300.66/10,305.25
6. Step 6: Final answer
   x = 8,043.89