Finding the Fourth Proportional to 10,285.89, 14,194.28 and 5,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,285.89 : 14,194.28 = 5,809.50 : x
2. Step 2: Convert to fraction form
   10,285.89/14,194.28 = 5,809.50/x
3. Step 3: Cross multiply
   10,285.89x = 14,194.28 × 5,809.50
4. Step 4: Simplify right side
   10,285.89x = 82,461,640.61
5. Step 5: Solve for x
   x = 82,461,640.61/10,285.89
6. Step 6: Final answer
   x = 8,016.97