Finding the Fourth Proportional to 10,109.48, 13,951.51 and 5,633.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.48 : 13,951.51 = 5,633.24 : x
2. Step 2: Convert to fraction form
   10,109.48/13,951.51 = 5,633.24/x
3. Step 3: Cross multiply
   10,109.48x = 13,951.51 × 5,633.24
4. Step 4: Simplify right side
   10,109.48x = 78,592,148.52
5. Step 5: Solve for x
   x = 78,592,148.52/10,109.48
6. Step 6: Final answer
   x = 7,774.10