Finding the Fourth Proportional to 10,206.10, 15,306.10 and 3,630.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.10 : 15,306.10 = 3,630.78 : x
2. Step 2: Convert to fraction form
   10,206.10/15,306.10 = 3,630.78/x
3. Step 3: Cross multiply
   10,206.10x = 15,306.10 × 3,630.78
4. Step 4: Simplify right side
   10,206.10x = 55,573,081.76
5. Step 5: Solve for x
   x = 55,573,081.76/10,206.10
6. Step 6: Final answer
   x = 5,445.08