Finding the Fourth Proportional to 10,106.57, 13,946.99 and 5,630.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.57 : 13,946.99 = 5,630.45 : x
2. Step 2: Convert to fraction form
   10,106.57/13,946.99 = 5,630.45/x
3. Step 3: Cross multiply
   10,106.57x = 13,946.99 × 5,630.45
4. Step 4: Simplify right side
   10,106.57x = 78,527,731.96
5. Step 5: Solve for x
   x = 78,527,731.96/10,106.57
6. Step 6: Final answer
   x = 7,769.97