Finding the Fourth Proportional to 5,109.21, 7,667.46 and 2,189.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.21 : 7,667.46 = 2,189.61 : x
2. Step 2: Convert to fraction form
   5,109.21/7,667.46 = 2,189.61/x
3. Step 3: Cross multiply
   5,109.21x = 7,667.46 × 2,189.61
4. Step 4: Simplify right side
   5,109.21x = 16,788,747.09
5. Step 5: Solve for x
   x = 16,788,747.09/5,109.21
6. Step 6: Final answer
   x = 3,285.98