Finding the Fourth Proportional to 1,026.03, 1,536.30 and 538.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.03 : 1,536.30 = 538.10 : x
2. Step 2: Convert to fraction form
   1,026.03/1,536.30 = 538.10/x
3. Step 3: Cross multiply
   1,026.03x = 1,536.30 × 538.10
4. Step 4: Simplify right side
   1,026.03x = 826,675.35
5. Step 5: Solve for x
   x = 826,675.35/1,026.03
6. Step 6: Final answer
   x = 805.70