Finding the Fourth Proportional to 10,223.59, 15,338.62 and 3,649.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.59 : 15,338.62 = 3,649.63 : x
2. Step 2: Convert to fraction form
   10,223.59/15,338.62 = 3,649.63/x
3. Step 3: Cross multiply
   10,223.59x = 15,338.62 × 3,649.63
4. Step 4: Simplify right side
   10,223.59x = 55,980,201.89
5. Step 5: Solve for x
   x = 55,980,201.89/10,223.59
6. Step 6: Final answer
   x = 5,475.59