Finding the Fourth Proportional to 10,109.67, 13,951.16 and 5,633.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.67 : 13,951.16 = 5,633.33 : x
2. Step 2: Convert to fraction form
   10,109.67/13,951.16 = 5,633.33/x
3. Step 3: Cross multiply
   10,109.67x = 13,951.16 × 5,633.33
4. Step 4: Simplify right side
   10,109.67x = 78,591,453.28
5. Step 5: Solve for x
   x = 78,591,453.28/10,109.67
6. Step 6: Final answer
   x = 7,773.89