Finding the Fourth Proportional to 10,100.34, 13,938.90 and 5,623.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.34 : 13,938.90 = 5,623.92 : x
2. Step 2: Convert to fraction form
   10,100.34/13,938.90 = 5,623.92/x
3. Step 3: Cross multiply
   10,100.34x = 13,938.90 × 5,623.92
4. Step 4: Simplify right side
   10,100.34x = 78,391,258.49
5. Step 5: Solve for x
   x = 78,391,258.49/10,100.34
6. Step 6: Final answer
   x = 7,761.25