Finding the Fourth Proportional to 10,106.50, 13,946.54 and 5,630.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.50 : 13,946.54 = 5,630.44 : x
2. Step 2: Convert to fraction form
   10,106.50/13,946.54 = 5,630.44/x
3. Step 3: Cross multiply
   10,106.50x = 13,946.54 × 5,630.44
4. Step 4: Simplify right side
   10,106.50x = 78,525,156.68
5. Step 5: Solve for x
   x = 78,525,156.68/10,106.50
6. Step 6: Final answer
   x = 7,769.77