Finding the Fourth Proportional to 2,696.14, 4,042.59 and 1,827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.14 : 4,042.59 = 1,827.82 : x
2. Step 2: Convert to fraction form
   2,696.14/4,042.59 = 1,827.82/x
3. Step 3: Cross multiply
   2,696.14x = 4,042.59 × 1,827.82
4. Step 4: Simplify right side
   2,696.14x = 7,389,126.85
5. Step 5: Solve for x
   x = 7,389,126.85/2,696.14
6. Step 6: Final answer
   x = 2,740.63