Finding the Fourth Proportional to 12,584.55, 17,370.34 and 7,805.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584.55 : 17,370.34 = 7,805.96 : x
2. Step 2: Convert to fraction form
   12,584.55/17,370.34 = 7,805.96/x
3. Step 3: Cross multiply
   12,584.55x = 17,370.34 × 7,805.96
4. Step 4: Simplify right side
   12,584.55x = 135,592,072.86
5. Step 5: Solve for x
   x = 135,592,072.86/12,584.55
6. Step 6: Final answer
   x = 10,774.49