Finding the Fourth Proportional to 9,022.50, 13,536.18 and 3,828.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022.50 : 13,536.18 = 3,828.78 : x
2. Step 2: Convert to fraction form
   9,022.50/13,536.18 = 3,828.78/x
3. Step 3: Cross multiply
   9,022.50x = 13,536.18 × 3,828.78
4. Step 4: Simplify right side
   9,022.50x = 51,827,055.26
5. Step 5: Solve for x
   x = 51,827,055.26/9,022.50
6. Step 6: Final answer
   x = 5,744.20