Finding the Fourth Proportional to 10,109.50, 13,951.68 and 5,633.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.50 : 13,951.68 = 5,633.09 : x
2. Step 2: Convert to fraction form
   10,109.50/13,951.68 = 5,633.09/x
3. Step 3: Cross multiply
   10,109.50x = 13,951.68 × 5,633.09
4. Step 4: Simplify right side
   10,109.50x = 78,591,069.09
5. Step 5: Solve for x
   x = 78,591,069.09/10,109.50
6. Step 6: Final answer
   x = 7,773.98