Finding the Fourth Proportional to 2,165.82, 3,248.72 and 522.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,165.82 : 3,248.72 = 522.37 : x
2. Step 2: Convert to fraction form
   2,165.82/3,248.72 = 522.37/x
3. Step 3: Cross multiply
   2,165.82x = 3,248.72 × 522.37
4. Step 4: Simplify right side
   2,165.82x = 1,697,021.94
5. Step 5: Solve for x
   x = 1,697,021.94/2,165.82
6. Step 6: Final answer
   x = 783.55