Finding the Fourth Proportional to 10,100.34, 13,938.08 and 5,624.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.34 : 13,938.08 = 5,624.28 : x
2. Step 2: Convert to fraction form
   10,100.34/13,938.08 = 5,624.28/x
3. Step 3: Cross multiply
   10,100.34x = 13,938.08 × 5,624.28
4. Step 4: Simplify right side
   10,100.34x = 78,391,636.46
5. Step 5: Solve for x
   x = 78,391,636.46/10,100.34
6. Step 6: Final answer
   x = 7,761.29