Finding the Fourth Proportional to 2,019.57, 3,029.01 and 538.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,019.57 : 3,029.01 = 538.82 : x
2. Step 2: Convert to fraction form
   2,019.57/3,029.01 = 538.82/x
3. Step 3: Cross multiply
   2,019.57x = 3,029.01 × 538.82
4. Step 4: Simplify right side
   2,019.57x = 1,632,091.17
5. Step 5: Solve for x
   x = 1,632,091.17/2,019.57
6. Step 6: Final answer
   x = 808.14