Finding the Fourth Proportional to 10,120.56, 13,966.49 and 5,644.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.56 : 13,966.49 = 5,644.70 : x
2. Step 2: Convert to fraction form
   10,120.56/13,966.49 = 5,644.70/x
3. Step 3: Cross multiply
   10,120.56x = 13,966.49 × 5,644.70
4. Step 4: Simplify right side
   10,120.56x = 78,836,646.10
5. Step 5: Solve for x
   x = 78,836,646.10/10,120.56
6. Step 6: Final answer
   x = 7,789.75