Finding the Fourth Proportional to 10,109.81, 13,951.34 and 5,633.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.81 : 13,951.34 = 5,633.46 : x
2. Step 2: Convert to fraction form
   10,109.81/13,951.34 = 5,633.46/x
3. Step 3: Cross multiply
   10,109.81x = 13,951.34 × 5,633.46
4. Step 4: Simplify right side
   10,109.81x = 78,594,329.92
5. Step 5: Solve for x
   x = 78,594,329.92/10,109.81
6. Step 6: Final answer
   x = 7,774.07