Finding the Fourth Proportional to 10,204.61, 15,303.27 and 3,629.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.61 : 15,303.27 = 3,629.48 : x
2. Step 2: Convert to fraction form
   10,204.61/15,303.27 = 3,629.48/x
3. Step 3: Cross multiply
   10,204.61x = 15,303.27 × 3,629.48
4. Step 4: Simplify right side
   10,204.61x = 55,542,953.10
5. Step 5: Solve for x
   x = 55,542,953.10/10,204.61
6. Step 6: Final answer
   x = 5,442.93