Finding the Fourth Proportional to 10,106.60, 13,946.85 and 5,630.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.60 : 13,946.85 = 5,630.09 : x
2. Step 2: Convert to fraction form
   10,106.60/13,946.85 = 5,630.09/x
3. Step 3: Cross multiply
   10,106.60x = 13,946.85 × 5,630.09
4. Step 4: Simplify right side
   10,106.60x = 78,521,950.98
5. Step 5: Solve for x
   x = 78,521,950.98/10,106.60
6. Step 6: Final answer
   x = 7,769.38