Finding the Fourth Proportional to 2,185.82, 3,278.68 and 542.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.82 : 3,278.68 = 542.34 : x
2. Step 2: Convert to fraction form
   2,185.82/3,278.68 = 542.34/x
3. Step 3: Cross multiply
   2,185.82x = 3,278.68 × 542.34
4. Step 4: Simplify right side
   2,185.82x = 1,778,159.31
5. Step 5: Solve for x
   x = 1,778,159.31/2,185.82
6. Step 6: Final answer
   x = 813.50