Finding the Fourth Proportional to 1,025.29, 1,536.72 and 538.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.29 : 1,536.72 = 538.08 : x
2. Step 2: Convert to fraction form
   1,025.29/1,536.72 = 538.08/x
3. Step 3: Cross multiply
   1,025.29x = 1,536.72 × 538.08
4. Step 4: Simplify right side
   1,025.29x = 826,878.30
5. Step 5: Solve for x
   x = 826,878.30/1,025.29
6. Step 6: Final answer
   x = 806.48