Finding the Fourth Proportional to 9,829.58, 14,743.89 and 2,809.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.58 : 14,743.89 = 2,809.53 : x
2. Step 2: Convert to fraction form
   9,829.58/14,743.89 = 2,809.53/x
3. Step 3: Cross multiply
   9,829.58x = 14,743.89 × 2,809.53
4. Step 4: Simplify right side
   9,829.58x = 41,423,401.27
5. Step 5: Solve for x
   x = 41,423,401.27/9,829.58
6. Step 6: Final answer
   x = 4,214.16