Finding the Fourth Proportional to 2,093.76, 3,134.16 and 1,782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,093.76 : 3,134.16 = 1,782.72 : x
2. Step 2: Convert to fraction form
   2,093.76/3,134.16 = 1,782.72/x
3. Step 3: Cross multiply
   2,093.76x = 3,134.16 × 1,782.72
4. Step 4: Simplify right side
   2,093.76x = 5,587,329.72
5. Step 5: Solve for x
   x = 5,587,329.72/2,093.76
6. Step 6: Final answer
   x = 2,668.56