Finding the Fourth Proportional to 9,880.57, 14,826.69 and 3,644.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,880.57 : 14,826.69 = 3,644.96 : x
2. Step 2: Convert to fraction form
   9,880.57/14,826.69 = 3,644.96/x
3. Step 3: Cross multiply
   9,880.57x = 14,826.69 × 3,644.96
4. Step 4: Simplify right side
   9,880.57x = 54,042,691.98
5. Step 5: Solve for x
   x = 54,042,691.98/9,880.57
6. Step 6: Final answer
   x = 5,469.60