Finding the Fourth Proportional to 2,182.17, 3,256.40 and 1,948.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.17 : 3,256.40 = 1,948.56 : x
2. Step 2: Convert to fraction form
   2,182.17/3,256.40 = 1,948.56/x
3. Step 3: Cross multiply
   2,182.17x = 3,256.40 × 1,948.56
4. Step 4: Simplify right side
   2,182.17x = 6,345,290.78
5. Step 5: Solve for x
   x = 6,345,290.78/2,182.17
6. Step 6: Final answer
   x = 2,907.79