Finding the Fourth Proportional to 9,887.27, 13,644.10 and 5,410.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,887.27 : 13,644.10 = 5,410.72 : x
2. Step 2: Convert to fraction form
   9,887.27/13,644.10 = 5,410.72/x
3. Step 3: Cross multiply
   9,887.27x = 13,644.10 × 5,410.72
4. Step 4: Simplify right side
   9,887.27x = 73,824,404.75
5. Step 5: Solve for x
   x = 73,824,404.75/9,887.27
6. Step 6: Final answer
   x = 7,466.61