Finding the Fourth Proportional to 10,107.24, 13,948.56 and 5,630.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.24 : 13,948.56 = 5,630.82 : x
2. Step 2: Convert to fraction form
   10,107.24/13,948.56 = 5,630.82/x
3. Step 3: Cross multiply
   10,107.24x = 13,948.56 × 5,630.82
4. Step 4: Simplify right side
   10,107.24x = 78,541,830.62
5. Step 5: Solve for x
   x = 78,541,830.62/10,107.24
6. Step 6: Final answer
   x = 7,770.85