Finding the Fourth Proportional to 2,097.82, 3,146.73 and 537.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.82 : 3,146.73 = 537.83 : x
2. Step 2: Convert to fraction form
   2,097.82/3,146.73 = 537.83/x
3. Step 3: Cross multiply
   2,097.82x = 3,146.73 × 537.83
4. Step 4: Simplify right side
   2,097.82x = 1,692,405.80
5. Step 5: Solve for x
   x = 1,692,405.80/2,097.82
6. Step 6: Final answer
   x = 806.75