Finding the Fourth Proportional to 10,606.88, 15,913.56 and 3,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.88 : 15,913.56 = 3,686.24 : x
2. Step 2: Convert to fraction form
   10,606.88/15,913.56 = 3,686.24/x
3. Step 3: Cross multiply
   10,606.88x = 15,913.56 × 3,686.24
4. Step 4: Simplify right side
   10,606.88x = 58,661,201.41
5. Step 5: Solve for x
   x = 58,661,201.41/10,606.88
6. Step 6: Final answer
   x = 5,530.49