Finding the Fourth Proportional to 10,209.74, 15,310.83 and 3,634.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209.74 : 15,310.83 = 3,634.16 : x
2. Step 2: Convert to fraction form
   10,209.74/15,310.83 = 3,634.16/x
3. Step 3: Cross multiply
   10,209.74x = 15,310.83 × 3,634.16
4. Step 4: Simplify right side
   10,209.74x = 55,642,005.95
5. Step 5: Solve for x
   x = 55,642,005.95/10,209.74
6. Step 6: Final answer
   x = 5,449.89