Finding the Fourth Proportional to 2,186.25, 3,279.34 and 542.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.25 : 3,279.34 = 542.82 : x
2. Step 2: Convert to fraction form
   2,186.25/3,279.34 = 542.82/x
3. Step 3: Cross multiply
   2,186.25x = 3,279.34 × 542.82
4. Step 4: Simplify right side
   2,186.25x = 1,780,091.34
5. Step 5: Solve for x
   x = 1,780,091.34/2,186.25
6. Step 6: Final answer
   x = 814.22