Finding the Fourth Proportional to 1,022.53, 1,533.77 and 253.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.53 : 1,533.77 = 253.03 : x
2. Step 2: Convert to fraction form
   1,022.53/1,533.77 = 253.03/x
3. Step 3: Cross multiply
   1,022.53x = 1,533.77 × 253.03
4. Step 4: Simplify right side
   1,022.53x = 388,080.89
5. Step 5: Solve for x
   x = 388,080.89/1,022.53
6. Step 6: Final answer
   x = 379.53