Finding the Fourth Proportional to 10,109.35, 13,951.32 and 5,633.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.35 : 13,951.32 = 5,633.09 : x
2. Step 2: Convert to fraction form
   10,109.35/13,951.32 = 5,633.09/x
3. Step 3: Cross multiply
   10,109.35x = 13,951.32 × 5,633.09
4. Step 4: Simplify right side
   10,109.35x = 78,589,041.18
5. Step 5: Solve for x
   x = 78,589,041.18/10,109.35
6. Step 6: Final answer
   x = 7,773.90