Finding the Fourth Proportional to 10,120.49, 13,966.35 and 5,644.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120.49 : 13,966.35 = 5,644.53 : x
2. Step 2: Convert to fraction form
   10,120.49/13,966.35 = 5,644.53/x
3. Step 3: Cross multiply
   10,120.49x = 13,966.35 × 5,644.53
4. Step 4: Simplify right side
   10,120.49x = 78,833,460.40
5. Step 5: Solve for x
   x = 78,833,460.40/10,120.49
6. Step 6: Final answer
   x = 7,789.49