Finding the Fourth Proportional to 10,100.92, 13,938.42 and 5,624.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.92 : 13,938.42 = 5,624.32 : x
2. Step 2: Convert to fraction form
   10,100.92/13,938.42 = 5,624.32/x
3. Step 3: Cross multiply
   10,100.92x = 13,938.42 × 5,624.32
4. Step 4: Simplify right side
   10,100.92x = 78,394,134.37
5. Step 5: Solve for x
   x = 78,394,134.37/10,100.92
6. Step 6: Final answer
   x = 7,761.09