Finding the Fourth Proportional to 10,100.62, 13,938.54 and 5,624.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.62 : 13,938.54 = 5,624.27 : x
2. Step 2: Convert to fraction form
   10,100.62/13,938.54 = 5,624.27/x
3. Step 3: Cross multiply
   10,100.62x = 13,938.54 × 5,624.27
4. Step 4: Simplify right side
   10,100.62x = 78,394,112.37
5. Step 5: Solve for x
   x = 78,394,112.37/10,100.62
6. Step 6: Final answer
   x = 7,761.32