Finding the Fourth Proportional to 10,120.71, 13,966.52 and 5,644.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.71 : 13,966.52 = 5,644.38 : x
2. Step 2: Convert to fraction form
   10,120.71/13,966.52 = 5,644.38/x
3. Step 3: Cross multiply
   10,120.71x = 13,966.52 × 5,644.38
4. Step 4: Simplify right side
   10,120.71x = 78,832,317.94
5. Step 5: Solve for x
   x = 78,832,317.94/10,120.71
6. Step 6: Final answer
   x = 7,789.21