Finding the Fourth Proportional to 10,100.52, 13,938.68 and 5,624.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.52 : 13,938.68 = 5,624.33 : x
2. Step 2: Convert to fraction form
   10,100.52/13,938.68 = 5,624.33/x
3. Step 3: Cross multiply
   10,100.52x = 13,938.68 × 5,624.33
4. Step 4: Simplify right side
   10,100.52x = 78,395,680.45
5. Step 5: Solve for x
   x = 78,395,680.45/10,100.52
6. Step 6: Final answer
   x = 7,761.55