Finding the Fourth Proportional to 1,057.82, 1,587.71 and 538.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.82 : 1,587.71 = 538.18 : x
2. Step 2: Convert to fraction form
   1,057.82/1,587.71 = 538.18/x
3. Step 3: Cross multiply
   1,057.82x = 1,587.71 × 538.18
4. Step 4: Simplify right side
   1,057.82x = 854,471.14
5. Step 5: Solve for x
   x = 854,471.14/1,057.82
6. Step 6: Final answer
   x = 807.77