Finding the Fourth Proportional to 2,982.34, 4,471.71 and 2,543.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,982.34 : 4,471.71 = 2,543.82 : x
2. Step 2: Convert to fraction form
   2,982.34/4,471.71 = 2,543.82/x
3. Step 3: Cross multiply
   2,982.34x = 4,471.71 × 2,543.82
4. Step 4: Simplify right side
   2,982.34x = 11,375,225.33
5. Step 5: Solve for x
   x = 11,375,225.33/2,982.34
6. Step 6: Final answer
   x = 3,814.19