Finding the Fourth Proportional to 6,585.57, 9,876.98 and 2,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585.57 : 9,876.98 = 2,424.50 : x
2. Step 2: Convert to fraction form
   6,585.57/9,876.98 = 2,424.50/x
3. Step 3: Cross multiply
   6,585.57x = 9,876.98 × 2,424.50
4. Step 4: Simplify right side
   6,585.57x = 23,946,676.50
5. Step 5: Solve for x
   x = 23,946,676.50/6,585.57
6. Step 6: Final answer
   x = 3,636.23