Finding the Fourth Proportional to 9,880.16, 14,826.09 and 3,644.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,880.16 : 14,826.09 = 3,644.55 : x
2. Step 2: Convert to fraction form
   9,880.16/14,826.09 = 3,644.55/x
3. Step 3: Cross multiply
   9,880.16x = 14,826.09 × 3,644.55
4. Step 4: Simplify right side
   9,880.16x = 54,034,426.31
5. Step 5: Solve for x
   x = 54,034,426.31/9,880.16
6. Step 6: Final answer
   x = 5,468.99