Finding the Fourth Proportional to 9,896.71, 13,654.07 and 5,644.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.71 : 13,654.07 = 5,644.72 : x
2. Step 2: Convert to fraction form
   9,896.71/13,654.07 = 5,644.72/x
3. Step 3: Cross multiply
   9,896.71x = 13,654.07 × 5,644.72
4. Step 4: Simplify right side
   9,896.71x = 77,073,333.74
5. Step 5: Solve for x
   x = 77,073,333.74/9,896.71
6. Step 6: Final answer
   x = 7,787.77