Finding the Fourth Proportional to 10,100.49, 13,938.57 and 5,624.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.49 : 13,938.57 = 5,624.19 : x
2. Step 2: Convert to fraction form
   10,100.49/13,938.57 = 5,624.19/x
3. Step 3: Cross multiply
   10,100.49x = 13,938.57 × 5,624.19
4. Step 4: Simplify right side
   10,100.49x = 78,393,166.01
5. Step 5: Solve for x
   x = 78,393,166.01/10,100.49
6. Step 6: Final answer
   x = 7,761.32