Finding the Fourth Proportional to 10,222.71, 15,337.31 and 3,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.71 : 15,337.31 = 3,648.75 : x
2. Step 2: Convert to fraction form
   10,222.71/15,337.31 = 3,648.75/x
3. Step 3: Cross multiply
   10,222.71x = 15,337.31 × 3,648.75
4. Step 4: Simplify right side
   10,222.71x = 55,961,991.62
5. Step 5: Solve for x
   x = 55,961,991.62/10,222.71
6. Step 6: Final answer
   x = 5,474.28