Finding the Fourth Proportional to 10,214.28, 15,322.86 and 3,638.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.28 : 15,322.86 = 3,638.52 : x
2. Step 2: Convert to fraction form
   10,214.28/15,322.86 = 3,638.52/x
3. Step 3: Cross multiply
   10,214.28x = 15,322.86 × 3,638.52
4. Step 4: Simplify right side
   10,214.28x = 55,752,532.57
5. Step 5: Solve for x
   x = 55,752,532.57/10,214.28
6. Step 6: Final answer
   x = 5,458.29