Finding the Fourth Proportional to 4,097.69, 5,654.82 and 2,234.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,097.69 : 5,654.82 = 2,234.69 : x
2. Step 2: Convert to fraction form
   4,097.69/5,654.82 = 2,234.69/x
3. Step 3: Cross multiply
   4,097.69x = 5,654.82 × 2,234.69
4. Step 4: Simplify right side
   4,097.69x = 12,636,769.71
5. Step 5: Solve for x
   x = 12,636,769.71/4,097.69
6. Step 6: Final answer
   x = 3,083.88